Division as Sharing Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Division as Sharing.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Understanding division as distributing a quantity equally among a number of groups or recipients.

12 cookies shared among 4 kidsβ€”each gets 3. Division tells us the share size.

Read the full concept explanation β†’

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Partitive division answers: 'If we share equally, how much does each get?'

Common stuck point: Confusing 'how many groups' with 'how many in each group'β€”both are division but with different unknowns.

Sense of Study hint: Try physically dealing out objects one at a time into equal groups to see how many each group gets.

Worked Examples

Example 1

easy
You have 18 stickers to share equally among 3 friends. How many stickers does each friend get?

Solution

  1. 1
    Write the sharing division: \(18 \div 3 = ?\)
  2. 2
    Think: share 18 into 3 equal groups.
  3. 3
    \(3 \times 6 = 18\), so each group has 6.
  4. 4
    Each friend gets 6 stickers.

Answer

6 stickers
Division as sharing splits a total equally. 18 shared among 3 means \(18 \div 3 = 6\) per person.

Example 2

medium
45 students are split into equal teams of 9. How many teams are there? Then, if each team gets 4 water bottles, how many bottles are needed total?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
24 cookies are shared equally among 6 children. How many cookies does each child get?

Example 2

medium
A total of 63 marbles are shared equally among 7 bags. How many marbles go in each bag?

Related Concepts

Background Knowledge

These ideas may be useful before you work through the harder examples.

division