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25 Division Word Problems for Grades 3 to 5 With Tips On Supporting Students’ Progress

Steven Eastes

Division word problems are important in building proficiency in division. Division is one of the bedrocks of math alongside addition, subtraction and multiplication. Therefore, it is vital that students have a deep understanding of division, its function within arithmetic and word problems, and how to apply both short division and long division with success.

Division itself is the mathematical process of breaking a number up into equal parts and then finding out how many equal parts you can have. It may be that you have a remainder following the division or you may have no remainder and so a whole number as your answer.

What are division word problems?

Introducing standard algorithm division.

• Why are word problems important for childrens’ understanding of division?

Applying math to real life situations

Building problem solving skills, developing mathematical language skills, deepening understanding of the inverse relationship between division and multiplication, how to teach division word problem solving in elementary school., example of a division word problem, how can we show this visually, examples of division word problems in the elementary setting, 3rd grade division word problems, 4th grade division word problems, 5th grade division word problems.

Division word problems are an extension of the arithmetic method whereby they are word problems with division at the heart. Students will be expected to use the process of division to find a solution to the word problem.

Typically, word problems use a story as a scenario and are based on a real life situation where students are expected to interpret what the word problem is asking and then apply their division knowledge to find the answer. Division can also be introduced early through the idea of grouping before advancing to the formal method of long division.

To help you with the division journey, we have put together a collection of division word problems which can be used for children between 3rd grade to 5th grade.

Word Problems Grade 4 Fractions and Decimals

11 grade 4 fractions and decimals questions to develop reasoning and problem solving skills.

Division word problems in upper elementary

As children enter 3rd grade, they begin to develop their mental and written strategies for division. Students will begin to use their multiplication knowledge and times tables to assist in their solving of division problems and how they can use the corresponding division facts and multiplication facts to answer questions. 

By the end of 3rd grade, students are expected to recall their multiplication and division facts for multiplication times tables up to 10 x 10. They should also use their knowledge of place value, and known and derived facts to assist with simple division such as dividing by 1 and halving.

Introducing partial quotients 

Before being introduced to the standard algorithm, also known as long division, students learn the partial quotients method. Students practice their fluency of short division, in order to answer division word problems that have a whole number answer, and those with a remainder.

Before entering 4th and 5th grade, students encounter division word problems and multi step problems with increasingly harder numbers going from a simple division problem, such as, ‘If we have 30 students in our class and we are divided into groups of 5, how many students will be in each group?’ to ‘If there are 56 books in our library and they are shared among 7 children, how many books would each child get?

As our students enter 5th grade, the standard algorithm, or long division, is introduced. By the end of 5th grade, students should be fluent in both multiplication and division and the written strategies, and be able to apply knowledge in fraction word problems .

4th grade students work towards being able to divide up to 4 digit numbers by a one digit number using partial quotients and being able to interpret remainders in the correct context – even presenting the remainder as a decimal or fraction. Students should also be able to divide mentally and know how to divide by 10, 100 and 1,000 and how place value works alongside dividing a number so it is 10, 100 or 1,000 times smaller.

5th grade students are expected to consolidate on the above formal methods of division before being able to divide a four digit number by a two digit number using the formal method of standard algorithm division and to again be able to understand remainders within this and present them in the correct context. 

This also flows into division word problems as children should be able to read a multi step problem and know how to correctly interpret it, apply their divisional knowledge and solve the problem successfully. The concept of multi step problems is built upon at each stage of your state math curriculum.

Why are word problems important for childrens’ understanding of division?

Word problems, alongside the use of concrete objects and visual representations, are important in helping children understand the complexities and possible abstract nature of division.

While children may understand that when we divide our answer will be smaller, before providing a child with word problem worksheets, just like with exploring arrays to support multiplication word problems , it is important to visually explore how division looks – from grouping and beyond.

Word problems are important because they provide a real life context for children to understand division and how we encounter it in real life. By allowing children to see how division is used in everyday situations, children will find it more meaningful and relevant which in turn develops a deeper understanding of the four operations as a whole.

Word problems are also vital to developing problem solving skills. First, they must read and understand the problem before being able to identify the relevant information within the contextual problem and apply their knowledge to find a solution. This naturally builds critical thinking and a child’s ability to reason, which is an important skill for any mathematician.

Finally, the importance of  moving from simple division word problems to more challenging ones enhances students’ vocabulary and language skills. For children to develop an understanding of vocabulary such as divisors, quotient and remainders means they must first understand these key words and apply it to the process of division and be able to communicate clearly what they are aiming to do.

Division word problems also solidify the connection between multiplication and division. Understanding these inverse operations and being able to interchange the skills of multiplication and division will help make connections between different mathematical concepts and deepen students’ learning. 

Having taught the concept of division to students using concrete examples, for example how to group or share counters and cubes, the next step is to advance to division word problems. 

As with all word problems, it is important that students are able to read the question carefully and interpret it so they know what they are being asked. Do they need to add, subtract, multiply or divide? Are they solving a multi step problem and need to do more than one step? They may decide what operation to do, in this blogs’ case – division, and then choose to represent it visually.

There are 40 pieces of candy ready to go in the party bags for Laura’s birthday. They are to be shared between 8 friends. How many pieces of candy will each child get?

How to solve this:

First, we need to interpret the question. Laura has invited 8 friends to her party and she has 40 pieces of candy to share equally between her friends. So we know:

• There are 40 pieces of candy in total
• They are to be divided among 8 friends in total
• We will need to divide the total number of candies (40) by the number of friends (8). To solve this problem we could put the total number of candies (the dividend – 40 ) using the partial quotient method and divide by the total number of friends (the divisor – 8). If we do this, we would get the answer of 5 – the quotient. Each friend would get 5 pieces of candy each as 40 divided by 8 is 5.
• Alternatively, we could use the inverse – multiplication – to solve this problem. We may not know the division fact that 40 divided by 8 = 5 but if we look to the inverse we may know what number multiplied by 8 equals 40. If we did our 8 times table we would get the answer of 5 – the correct answer.

We could show 8 circles – each circle to represent a child – and place a piece of candy in each circle until we have placed all 40 candies. This would mean we have shared the candies equally between the friends and would result in each child having 5 candies.

We could represent the division word problem as a bar model. We could split the bar model into 8 sections. There are 40 candies and so we share them between the 8 sections. We will see that each section will get 5 pieces of candy.

The below visuals show how this would look:

Word problems are an important aspect of our learning at Third Space Learning’s one-to-one tutoring program. Tutors will work with our tutees to break down the word problems and identify the correct operation needed to solve the word problem.

Below are examples of what can be expected at each year group from grades 3 to 5. Through our tutoring program at Third Space Learning, our tutees will become familiar with word problems throughout their learning. They will encounter word problems on a regular basis with each lesson personalized to develop the learning our tutees need. The word problems will increase their confidence, familiarity with vocabulary and mathematical understanding.

Division word problems are essential to developing problem solving skills and mathematical reasoning.

Word problems for 3rd grade, students should begin using their recall of the times table facts they have learned to help with division word problems and be able to divide two digit numbers by one digit numbers using mental and partial quotients. Word problems may also involve multi step problems.

Question 1:

If a school has 90 students in 2nd grade and there are 3 classes in 2nd grade, how many students are in each class?

90 shared equally into 3 classes = 30 children per class

Question 2:

Every day a school gets a delivery of milk in a crate. There are 96 cartons of milk in the crate. If there are 8 milk cartons in a pack, how many packs will be in the crate?

96 divided by 12 = 8.

There are 8 cartons of milk in a pack.

Question 3:

A delivery of 96 footballs arrives at school for sports day. They are to be shared equally between 4 classes. How many footballs does each class get?

96 divided by 4 = 24 footballs per class

Question 4:

3rd grade is going to the beach on a school trip. If there are 100 children in 3rd grade and only 10 children can go on one mini bus, how many mini buses does Mr. Pearson need to book?

100 children divided 10 = 10 mini buses.

Question 5:

If you have 60 flowers and divide them into four flower pots, how many flowers are in each pot? Are there any left over?

Answer: 15 flowers in each pot.

If we divide 60 into 4 equal groups then we can use the partial quotient method.

When using the partial quotients method, students rely on what multiplication facts they can use. 

Because we are dividing 60 by 4, we may ask ourselves, what number can I multiply 4 by, to get close to 60 without going over? Students should be familiar with their 10s time tables, and 4 x 10 = 40. We place the 10 above the quotient line, and then subtract 40 from 60, leaving 20 remaining.

We will now start the process all over again. What number can I multiply 4 by to get close to 20 without going over? We know that 4 x 5 = 20, so again, place 5 above the 10 in the quotient line and subtract 20 – 20. Because there is nothing left over, we are done dividing.

So the answer to 60 divided by 4 = 15.

This would look like:

Word problems for 4th grade center around dividing a 4 digit number by a 1 digit number using the partial products method or area model method of division. They will also be introduced to remainders and be expected to interpret remainders correctly depending on the context. 

Ronan has a ball of string that is 819 cm long. He cuts it into 7 equal pieces. How long is 1 piece of string?

Answer: 117cm

819 divided by 7 = 117

In upper elementary there are 1,248 colored pencils. If there are 6 classes in upper elementary, how many pencils would each class receive?

Answer: 208

We use the division method to divide 1,248 by 6 and we get 208 as the result.

Mia buys three computer games for $84. How much is one computer game?

Answer: $28.

We divide $84.00 by 3 and we get $28.00.

The area of the school hall is 1,704m and needs to be split into four quadrants. What would be the area of each quadrant?

Answer: 426m

We take the total area of the school and divide it by 4 to represent each quadrant. In doing so, we would have 426m for each quadrant.

To check this is the correct answer, we could do the inverse and multiply 426 by 4 and we would get 1,704m.

Packets of candy are put into multi packs of 4. Today, 7,800 packets of candy were packed. How many boxes of candy were packed?

Answer: 163 boxes

We then have to take the total packets of candy– 7,800 – and divide this by 4. If we do this we will get the answer 1,950 boxes were packed.

Word problems for 5th grade will be preparing for the end of elementary school. They would be familiar with the concept of standard algorithm division and needing to divide a 4 digit number by a 2 digit number using the formal method of standard algorithm division.

A school is selling tickets at $6 each to attend the Big Christmas Fair. Over 15 weeks it has earned an amazing $9,720! On average, how many tickets were sold each week?

Answer: 108 tickets per week

First, we need to use the formal method of standard algorithm division to divide the grand total – $9,720 by 15. If we do this correctly we will have the answer 648.

Then, we need to take this answer of 648, which is how much is earned each week, and then divide this by $6, the amount each ticket is.

This will result in the number of tickets sold each week – 108 tickets.

A square sports field has a perimeter of 2.696km. How long is each side of the field?

Answer: 674m

To answer this we need to be able to convert the 2.696km into meters. There are 1000 meters in a kilometer so that would be 2,696m. Then we divide this by 4 and get 674m for one side.

Keira is given a toy blocks kit containing 2,208 individual blocks. She wants to split the toy blocks evenly between 15 friends and herself to work on making a toy block city together. How many blocks should she give each of her friends?

Answer: 138 blocks

We need to use the formal method of standard algorithm division to solve this. We also need to ensure we include Keira and her 15 friends so we have the number 16 as the divisor.

When we divide 2,208 by 16 using long division we get the answer 138.

Wesleigh was running in the cross country race. He ran for a distance of 3,569m and it took him 11 minutes to complete the race. How many meters did he run per minute? Give your answer to the nearest whole meter.

Answer: 324 meters

We need to use standard algorithm division to divide 3,569 by 11. That will give us an answer of 324.45. As the decimal can be rounded down, the answer is 324 meters.

Sophia is preparing her candy stall for the fair. She can fit 18 tins of candy into one crate. How many crates will be needed to fit 153 tins of candy?

Answer: 9 crates 

We divide 153 by 18 using standard algorithm division and we have an answer of 8, remainder 5. Therefore, having 8 crates would not be enough as we would have 85 tins left over and so we need a further tin to house the 5 tins left over. So, 9 crates are needed.

More word problems resources

Are you looking for more word problems resources? Take a look at our library of word problems practice questions including: time word problems , ratio word problems , addition word problems and subtraction word problems .

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former Deputy Headteacher Steven Eastes and has since been revised and adapted for US schools by elementary math teacher Christi Kulesza.

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Problem Solving on Division

Problem solving on division will help us to get the idea on how to solve the basic division statement problems.

1.  The teacher brought 36 books from the library. He asked Ron to put them on 3 tables. He was to put the same number of books on each table. How many books should Ron put on each table?

Number of books bought from the library = 36

Number of tables = 3

Therefore, number of books Ron put on each table = 36 ÷ 3 = 12

2.  There are 48 bikes in 4 rows. How many bikes were in each row?

Number of bikes = 48

Number of rows = 4

Therefore, number of bikes in each row = 48 ÷ 4 = 12

3. Today 155 children went to see the Red Fort. They went in 5 buses. How many children were in each bus if each bus had the same number of children?

Number of children went to see the Red Fort = 155

Number of buses = 5

Therefore, number of children in each bus = 155 ÷ 5 = 31

4. On Sunday, 126 scouts are to go on a hike. There are 6 troops of the same size. How many scouts are in each troop?

Number of scouts to go on a hike = 126

Number of troops of the same size = 6

Therefore, number of scouts in each troop = 126 ÷ 6 = 21

5. How many 8 centimeter pieces of ribbon can be cut from 96 centimeters of ribbon?

Length of a ribbon = 96 cm

Length of a pieces of ribbon cut = 8 cm

Therefore, number of pieces of ribbon in 8 cm = 96 ÷ 8 = 12

6. Sharon had 56 bulbs to plant. She was going to put 4 in each flower pot. How many pots did she need?

Number of bulbs Sharon had to plant = 56

Number of bulbs in each flower pot = 4

Therefore, number of pots she need = 56 ÷ 4 = 14

More examples on statement problem solving on division:

7. The 168 chairs in the hall had to be put in rows with 8 in each. How many rows were made?

Number of chairs in the hall = 168

Number of chairs in each row = 8

Therefore, number of rows = 168 ÷ 8 = 21

8. How many packets will be made if 267 books are packed with 3 books in each?

Number of books = 267

Number of books in each packet = 3

Therefore, number of packets = 267 ÷ 3 = 89

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Word Problems Involving Division

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5 Fun Division Word Problems | Practice Multiple Ways of Solving | Free Printable

Division word problems.

Are your children ready to conquer division? These interactive, division problem-solving worksheets will help children solve division word problems in five different ways.

Division Problems

He has done it numerous times. Sharing a group of toys with his siblings, or even sharing a bag of M&M’s. In those situations, he instinctively knows how to do division problems.

When we hit the division problem in his math book, he wasn’t quite as sure what to do.

I wanted this little man of mine to be able to relate division to what he has done over and over while creating strategies for solving division problems.

These word problems with five steps were what we came up with. These simple division worksheets are perfect for 3rd grade division word problems.

How to Solve Division Word Problems

Step 1: division word problem solving by grouping.

The first step is the way we normally teach children to solve division problems. The students grab the amounts of objects that need to be divided up and then place them in the correct amount of groups. It is very hands-on and a visual way for our children to understand what is happening when we are dividing .

Step 2: Solving Division Word Problems by Repeated Subtraction

To solve a word problem using repeated subtraction, students start with the number being divided up or the dividend. Now they subtract the divisor or the number that tells how many groups are needed from the dividend over and over until they reach zero. The number of times they subtracted is the answer.

Step 3: Division Word Problem Solving with Arrays

Chances are if you taught multiplication in a hands-on way, you taught it using arrays. You can create an array when you place objects, pictures, or numbers in equal columns and equal rows.

With multiplication, you would take a problem like 4 x 5, and make 4 rows with 5 in each column. You would end up with 20 objects, which of course is the answer to the multiplication problem.

Division is a little different. If the problem is 18 ÷ 3, The student creates three rows. They then keep placing one object in each row until they have used 18 objects.

They now have an array that is a 3 by 6. The answer to the division problem is 6.

Want to know how to use arrays to divide when the numbers are larger? Check out this POST !

Step 4: Number Line to Solve Division Word Problems

Number lines have become an important tool in helping children solve problems. The beginning of this video by Ramy Melhem  clearly shows how to divide using a number line, and the little frog hopping is a great visual for our little ones.

Step 5: Create an Equation

The final step is very easy after all the work above. The students simply figure out what number was divided up, and place it in the first box.

They then look at how many groups they created, and that is the number that goes into the second box. Finally, they figure out how many objects were in each group and that is the answer or quotient.

That number goes in the last box.

By throwing in markers and painting with q-tips these sheets were fun for my little man, and I could see his understanding of division grow.

We moved on to these cut-and-paste division assessments, and his thinking was challenged even more. Through all this practice he is on his way to mastering simple division problems, and your kiddos can master it too.

Get This Cut and Paste Division Assessment at my TpT Store .

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Division Word Problems Printable

These free division math problems will help your students learn how to solve division problems 5 different ways. You can download this printable by clicking on the download button.

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Mathematics 4 Quarter 1 – Module 13: Solving Problems Involving Division

Problem solving is a very useful skill for every learner like you. With thorough understanding and constant practice, this would challenge you to think logically and eventually find it an enjoyable activity.

This module will help you understand problem solving and assist you to learn more about the division process and how it is used in real-life situations. This will also facilitate you to understand how to solve word problems with more mathematical operations involved.

After going through this module, you are expected to:

• solve routine and non-routine problems involving division of 3- to 4-digit numbers by 1- to 2-digit numbers including money using appropriate problem solving strategies and tools; and

• solve multi-step routine and non-routine problems involving division and any of the other operations of whole numbers including money using appropriate problem-solving strategies and tools.

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Problem Solving on Division | Division Word Problems Examples with Answers

Are you looking for help in solving the division problems? If yes, then you are on the correct page. This Problem Solving on Division page includes the questions prepared by math experts. Students can check the detailed process to solve all those problems in the following sections. We know that division is an arithmetic operation that is inverse of multiplication and used to split the number of items into groups of equal size.

We are providing example questions and solutions for the various division problems. Interested students can solve the practice questions related to division to become a pro in the concept. All the Questions covered clearly explain how to solve problems involving division.

• Worksheet on Division Problems by 2-Digit Divisors
• Word Problems on Division by 2 Digit Number
• Word Problems on Division

Division Problem Solving Examples

Example 2: At a parking slot, we have 52 bikes in 4 rows. Find the number of bikes in each row? Solution: The total number of bikes = 52 The number of rows = 4 The number of bikes in each row = 52 ÷ 4 = 13 Therefore, the number of bikes in each row is 13.

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Mastering Division Facts and Word Problems - Lesson Plan

Join us on a mathematical journey as we explore division facts and problem-solving strategies. this lesson is designed to help students strengthen their understanding of division, practice division facts, and apply their knowledge to solve word problems. through engaging activities and real-world scenarios, students will develop confidence in their division skills and enhance their problem-solving abilities. get ready to dive into the world of division.

Know more about Mastering Division Facts and Word Problems - Lesson Plan

The main objectives of this lesson plan are to reinforce division facts, develop problem-solving skills, and apply division to real-world situations.

This lesson plan helps students improve their math skills by providing opportunities to practice division facts, develop problem-solving strategies, and apply their knowledge to solve word problems.

Students can expect to learn how to recall division facts, use related multiplication facts, divide multiples of 10, write division equations for real-world situations, and think multiplication when solving division problems.

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Dividing Fractions Word Problems Worksheets

Toss off solutions to our pdf worksheets on dividing fractions word problems to foster a sense of excellence in identifying the dividend and the divisor and solving word problems on fraction division. Equipped with answer key, our worksheets get children in grade 5, grade 6, and grade 7 rattling their way through the division of fractions and mixed numbers in regular and themed problems. A flurry of everyday scenarios, our free worksheet for dividing fractions word problems is worth a shot!

Dividing Fractions and Whole Numbers Word Problems

Prepare the child through and through so they divide fractions and whole numbers with word problems. Let them take the reciprocal of the divisor and multiply it with the dividend, and they’re good to go!

• Download the set

Dividing Fractions by Cross Cancelling Word Problems

Exceed every learning expectation with our dividing fractions word problems worksheets! Apply cross cancellation after inverting the divisor, find products of what's left, and do write the correct units.

Dividing Mixed Numbers Word Problems

Give 5th grade and 6th grade students a good round of practice to hone their skills in fraction division. Convert mixed numbers into improper fractions, and proceed to divide them as usual.

Dividing Mixed Numbers and Fractions Word Problems

The road to mastery in word problems on dividing mixed numbers and fractions is made smooth with our printable worksheets. Read the problems, identify the dividends and divisors, and find the answers.

Themed Fraction Division Word Problems

If grade 6 and grade 7 learners are bent on proving they're real gifted at tackling fraction division, nothing can stop them! With our themed word problems pdfs, problem-solving is at its most exciting.

Related Worksheets

» Adding Fractions Word Problems

» Subtracting Fractions Word Problems

» Multiplying Fractions Word Problems

» Fraction Word Problems

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Division of whole numbers

Fraction word problems.

These grade 5 word problem worksheets have problems involving the division of whole numbers with fractional results, such as sharing 3 pizzas between 10 people. Some answers involve estimating.

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DIVIDING INTEGERS WORD PROBLEMS

We can use integer division to solve real-world problems. For some problems, we may need to perform more than one step.

And also, we have to be sure to check that the sign of the quotient makes sense for the situation.

Problem 1 :

Jake answers questions in two different online Olympic trivia quizzes. In each quiz, he loses points when he gives an incorrect answer. The table shows the points lost for each wrong answer in each quiz and Jake’s total  points lost in each quiz. In which quiz did he have more wrong answers ?

Step 1 : 

To find the number of incorrect answers in the winter quiz, divide the total points lost by the number of points lost per wrong answer.

-33 ÷ (-3)  =  11

Find the number of incorrect answers Jake gave in the summer quiz. Divide the total points lost by the number of points lost per wrong answer.

-56 ÷ (-7)  =  8

Compare the numbers of wrong answers.

So, Jake had more wrong answers in the winter quiz.

Problem 2 :

A penalty in Meteor-Mania is -5 seconds. A penalty in Cosmic Calamity is -7 seconds. Yolanda had penalties totaling -25 seconds in a game of Meteor-Mania and -35 seconds in a game of Cosmic Calamity. In which game did Yolanda receive more penalties ? Justify your answer.

To find the number of times Yolanda received penalties in Meteor-Mania, divide the total penalties by penalties per time.

-25 ÷ (-5)  =  5

In the game of  Meteor-Mania, s he received penalties 5 times  

Step 2 : 

To find the number of times Yolanda received penalties in  Cosmic Calamity , divide the total penalties by penalties per time.

-35 ÷ (-7)  =  5

In the game of  Cosmic Calamity, s he received penalties 5 times.

Compare the number of times she received penalties in both the games. 

5  =  5

Yolanda received the same number of penalties in each game

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