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Division as Equal Sharing

One of the two core meanings of division is equal sharing: splitting a total quantity into a fixed number of equal parts and finding how much is in each part.

The Sharing Model

20 sweets shared equally among 4 children: 20 ÷ 4 = 5 sweets each

You can visualise this by dealing out objects one at a time into each group until none remain.

Worked Examples

Easy

Share 18 stickers equally among 3 friends: 18 ÷ 3 = 6 stickers each

Medium

Share £56 equally among 8 people: 56 ÷ 8 = £7 each

With a Remainder

Share 17 biscuits among 4 people: 4 × 4 = 16 biscuits, 1 left over. Each gets 4 biscuits and there is 1 remaining.

Real-Life Sharing

  • Splitting a restaurant bill equally.
  • Distributing equal portions of food.
  • Dividing a task equally among team members.

Key Takeaways

  • Equal sharing: total ÷ number of groups = amount per group.
  • The divisor tells you how many groups (people, portions, etc.).
  • If the total does not divide evenly, there is a remainder.

Practice Questions

  1. Share 24 apples equally between 6 baskets. How many in each?
  2. Share £45 equally among 9 people.
  3. A teacher distributes 35 books equally among 7 groups. How many per group?
  4. 32 students are divided into equal teams of 4. How many teams?
  5. Share 19 chocolates among 4 children as equally as possible. How many each and how many left over?
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