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division

Division word problems

Solve sharing, grouping, comparison and rate problems.

Quick answer

Division word problems are maths questions that use real-life situations to help you work out how many groups there are, or how many items are in each group when sharing or grouping things equally.

Learning outcome

By the end of this page, you will be able to solve word problems that involve sharing equally or grouping things, and you will know how to decide whether to use division or another operation. Success signs:
  • You can spot when a word problem needs division
  • You can draw or act out the problem to understand it
  • You can solve sharing and grouping problems with numbers up to 100
  • You can explain how you solved the problem to someone else

Why this matters

Division word problems help you understand how maths works in real life. You use division every day when you share snacks with friends, divide your pocket money, or split a pizza into equal pieces. Understanding division helps you make fair decisions, plan ahead, and solve problems quickly. Whether you're helping in the kitchen, playing a game, or sharing toys, division helps you work out how things are shared or grouped.

How it works

Division is about splitting things into equal parts or finding how many equal groups you can make. There are four main types of division word problems:
  1. Sharing equally – When you have a total amount and need to split it between a certain number of people or places
  2. Grouping – When you know how many items are in each group and need to find how many groups you can make
  3. Comparison – When you need to compare how many times bigger one group is than another
  4. Rate – When you need to find how much of something happens in a certain amount of time or per unit

Examples you can see

Let's look at each type with simple examples: Sharing equally: If you have 12 cookies and 4 friends, how many cookies does each friend get?
  • Think: 12 cookies shared among 4 people
  • Calculate: 12 ÷ 4 = 3
  • Answer: Each friend gets 3 cookies
Grouping: If you have 15 pencils and want to put them into groups of 3, how many groups can you make?
  • Think: 15 pencils, 3 in each group
  • Calculate: 15 ÷ 3 = 5
  • Answer: You can make 5 groups
Comparison: If you have 20 apples and your friend has 5 apples, how many times more apples do you have?
  • Think: 20 apples compared to 5 apples
  • Calculate: 20 ÷ 5 = 4
  • Answer: You have 4 times more apples
Rate: If you walk 100 metres in 2 minutes, how many metres do you walk in 1 minute?
  • Think: 100 metres in 2 minutes
  • Calculate: 100 ÷ 2 = 50
  • Answer: You walk 50 metres per minute

Try it as a mini adventure

The Great Cake Sharing Challenge You are helping your family prepare for a birthday party. You have 24 cupcakes and need to decide how to share them fairly. Here's your adventure:
  1. First time: You have 24 cupcakes to share among 6 people. How many cupcakes does each person get?
    • Step 1: Think about how many cupcakes you have
    • Step 2: Think about how many people are sharing
    • Step 3: Divide 24 by 6
    • Step 4: 24 ÷ 6 = ?
  2. Second time: You have 24 cupcakes and want to put them into boxes, with 4 cupcakes in each box. How many boxes do you need?
    • Step 1: Think about how many cupcakes you have
    • Step 2: Think about how many cupcakes go in each box
    • Step 3: Divide 24 by 4
    • Step 4: 24 ÷ 4 = ?
  3. Third time: You have 24 cupcakes and want to make sure everyone gets the same amount. You have 3 friends coming. How many cupcakes does each friend get?
    • Step 1: Think about how many cupcakes you have
    • Step 2: Think about how many friends are coming
    • Step 3: Divide 24 by 3
    • Step 4: 24 ÷ 3 = ?

Common mistakes

  • Mistake: Thinking you can divide by zero
    • Why it happens: Children may not understand that you can't split something into zero groups
    • Fix: Remember that you can't divide by zero. If you have 10 sweets and try to share them among 0 friends, it's impossible!
  • Mistake: Confusing division with multiplication
    • Why it happens: When you see "times" in a problem, you might think to multiply instead of divide
    • Fix: Look for words like "share", "divide", "equal groups", or "each" to help you know when to divide
  • Mistake: Not checking if your answer makes sense
    • Why it happens: Sometimes children just do the calculation without thinking about the real-world result
    • Fix: Ask yourself, "Does this answer make sense?" For example, if you're sharing 10 cookies among 5 people, you should get 2 cookies each – not 50!
  • Mistake: Using the wrong operation
    • Why it happens: Children might not understand the difference between sharing and grouping
    • Fix: Draw a picture or use objects to help you see what you're doing. If you're putting items into groups, it's grouping. If you're splitting items between people, it's sharing.

Parent and carer guide

Parents and carers can help by:
  • Reading the word problem aloud with your child and asking them to explain what they understand
  • Using real objects like coins, blocks, or food to act out the problem
  • Encouraging your child to draw pictures or make models of the problem
  • Asking questions like "What do we need to find out?" and "How can we show this?"
  • Checking if the answer makes sense in the real world
  • Practising with everyday situations like sharing snacks or dividing toys
It's normal for children to make mistakes at first. The key is to keep trying and to help them understand what went wrong so they can learn from it. Don't worry if they need to use objects or draw pictures – these are helpful tools, not signs of weakness.

Practice questions

  1. There are 18 pencils to be shared equally among 3 students. How many pencils does each student get?
  2. How many groups of 6 can you make from 24 apples?
  3. Tommy has 20 stickers and wants to put them into groups of 4. How many groups will he make?
  4. If you have 30 marbles and want to share them among 5 friends, how many marbles does each friend get?
  5. There are 40 cookies and 8 children. How many cookies does each child get?
Answers:
  1. 18 ÷ 3 = 6 pencils each
  2. 24 ÷ 6 = 4 groups
  3. 20 ÷ 4 = 5 groups
  4. 30 ÷ 5 = 6 marbles each
  5. 40 ÷ 8 = 5 cookies each

FAQ

What is a division word problem?

A division word problem is a maths question that uses words to describe a situation where you need to split things equally or find how many equal groups you can make.

How do I know if a word problem needs division?

Look for words like "share", "divide", "equal groups", "each", "split", or "how many in each group". These clues tell you that division is needed.

Can I use multiplication to check my division answer?

Yes! You can multiply the answer by the number you divided by to check if you get the original number. For example, if 12 ÷ 3 = 4, then 4 × 3 should equal 12.

What if I get a remainder in my division?

If you get a remainder, it means you can't split things perfectly. For example, if you have 13 cookies and 4 people, each person gets 3 cookies and there is 1 cookie left over. This is a remainder of 1.

Why do we learn division word problems?

Division word problems help you solve real-life problems, like sharing food, dividing tasks, or planning how many items you need. They help you think logically and make fair decisions.