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division

Division with fractions later on

Prepare children for fractions by connecting division to equal parts.

Quick answer

Division is about splitting things into equal parts. When you divide, you share or separate items so that each group has the same amount.

Learning outcome

By the end of this page, you will understand how to share items equally and connect this to fractions later on. Success signs:
  • You can split 12 cookies into 3 equal groups
  • You can explain what "divide by 2" means
  • You can show how division connects to sharing
  • You can solve simple division problems with objects

Why this matters

Division helps you share things fairly, like splitting your birthday cake with friends or sharing toys. It's the foundation for understanding fractions, which you'll learn soon. When you know division, you can:
  • Share your pocket money equally
  • Split a pizza into equal slices
  • Understand how many items each person gets
  • Prepare for more maths like fractions and ratios

How it works

Division means splitting a number into equal groups. Here's how:
  1. Start with a total number of items
  2. Decide how many groups you want
  3. Share the items equally between the groups
  4. Count how many items are in each group
Think of it like sharing candies with friends. If you have 10 candies and 2 friends, you give 5 candies to each friend.

Examples you can see

Let's try some examples with things you can touch and see. Example 1: Sharing apples You have 8 apples and want to share them equally between 2 people.
  • Start with 8 apples
  • Split them into 2 groups
  • Each group gets 4 apples
So, 8 ÷ 2 = 4 Example 2: Sharing stickers You have 12 stickers and want to share them equally between 3 people.
  • Start with 12 stickers
  • Split them into 3 groups
  • Each group gets 4 stickers
So, 12 ÷ 3 = 4 Example 3: Making equal rows You have 15 pencils and want to make 3 rows with the same number of pencils in each row.
  • Start with 15 pencils
  • Make 3 rows
  • Each row has 5 pencils
So, 15 ÷ 3 = 5

Try it as a mini adventure

Adventure: The Great Cake Sharing You are planning a birthday party and have a big cake. You want to make sure everyone gets an equal share.
  1. There are 10 friends coming to your party
  2. You have 20 pieces of cake
  3. Each friend should get the same number of pieces
  4. How many pieces does each friend get?
Try to solve this step by step:
  • Start with 20 pieces
  • Split them between 10 friends
  • Each friend gets 2 pieces
Now try another one:
  • There are 6 friends coming
  • You have 18 pieces
  • Each friend gets 3 pieces
So, 18 ÷ 6 = 3

Common mistakes

  • Mistake: Thinking 10 ÷ 2 = 5, but forgetting that 10 ÷ 2 = 5 is correct
    • Why it happens: Children might confuse division with multiplication
    • Fix: Practice with physical objects like counters or blocks to show that 10 divided into 2 equal groups gives 5 in each group
  • Mistake: Counting the groups instead of the items in each group
    • Why it happens: Children might focus on how many groups there are instead of how many items are in each group
    • Fix: Use visual aids like drawing circles or using counters to show each group separately
  • Mistake: Thinking division always makes numbers smaller
    • Why it happens: Children often think that division always reduces the number
    • Fix: Show examples like 12 ÷ 1 = 12, where dividing by 1 doesn't change the number

Parent and carer guide

You can help your child understand division in 5-10 minutes:
  • Use everyday objects like toys, snacks, or blocks to show sharing
  • Ask questions like "How many cookies will each person get if we share 12 cookies between 3 people?"
  • Encourage drawing pictures to show division problems
  • Point out division in real life: "We have 10 apples and 2 people, so each person gets 5 apples"
  • Don't worry if they make mistakes - that's how they learn
Remember that division is about sharing equally. If your child gets confused, use simple words and lots of examples.

Practice questions

  1. There are 16 crayons and 4 boxes. How many crayons go in each box?
    • Answer: 4 crayons per box
  2. There are 24 marbles and 6 bags. How many marbles go in each bag?
    • Answer: 4 marbles per bag
  3. There are 18 biscuits and 3 plates. How many biscuits go on each plate?
    • Answer: 6 biscuits per plate
  4. There are 20 pencils and 5 pencil cases. How many pencils go in each case?
    • Answer: 4 pencils per case
  5. There are 25 sweets and 5 friends. How many sweets does each friend get?
    • Answer: 5 sweets per friend

FAQ

What is division?

Division is when you split a number into equal parts or groups. It's about sharing fairly.

How do I know which number to divide by which?

The bigger number usually goes first (the dividend), and the smaller number tells you how many groups to make (the divisor).

Why is division important?

Division helps you share things fairly, understand fractions later, and solve problems in daily life like splitting bills or sharing food.

Can I divide by zero?

No, you cannot divide by zero. It doesn't make sense in maths because you can't split something into zero groups.

How does division connect to fractions?

When you divide something into equal parts, each part is a fraction of the whole. For example, if you split 1 pizza into 4 equal pieces, each piece is 1/4 of the pizza.