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 total equally among a given number of groups. This 'fair sharing' model asks: if I share equally, how many does each group get?

12 cookies shared among 4 kids—each gets 3. Division tells us the share size.

Read the full concept explanation →

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: Sharing (partitive) division fixes the number of groups and finds how many go in each.

Common stuck point: The procedure for division as sharing is the easy part; the trap is reporting the number of groups when asked for the share size. Asking "Is the number of groups known, and am I finding how many go in each?" first is what keeps a correct-looking calculation from being attached to the wrong concept.

Sense of Study hint: Ask: Is the number of groups known, and am I finding how many go in each?

Worked Examples

Example 1

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

Answer

6 stickers

First step

1
Write the sharing division: 18÷3=?18 \div 3 = ?

Full solution

  1. 2
    Think: share 18 into 3 equal groups.
  2. 3
    3×6=183 \times 6 = 18, so each group has 6.
  3. 4
    Each friend gets 6 stickers.
Division as sharing splits a total equally. 18 shared among 3 means 18÷3=618 \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?

Example 3

easy
Twenty-four cookies are split equally among 66 plates. How many on each plate?

Example 4

medium
A teacher has 4545 books. She shares them equally among 55 tables and adds one more book per table from a separate box. Books per table now?

Example 5

hard
Distinguish: 'Share 3030 among 55 kids' vs. 'How many groups of 55 are in 3030?' Are the answers the same?

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?

Example 3

easy
Share 1212 cookies equally among 44 children. How many does each get?

Example 4

easy
Divide 2020 candies among 55 kids equally. How many per kid?

Example 5

easy
Share 1010 apples between 22 baskets equally. How many in each basket?

Example 6

easy
Share 1515 stickers among 33 friends. How many each?

Example 7

easy
Eight balloons are shared equally by 44 kids. How many balloons per kid?

Example 8

easy
Divide 1818 pencils among 66 students equally. How many each?

Example 9

easy
Share 99 marbles among 33 jars. How many per jar?

Example 10

easy
Twenty-four crackers are shared by 88 children. How many crackers each?

Example 11

medium
Share 1313 cookies among 44 kids equally. How many does each get and how many are left over?

Example 12

medium
A pizza of 1212 slices is shared among 55 friends. How many whole slices each, and how many remain?

Example 13

medium
Distinguish: 2020 shared among 55 kids vs. how many groups of 55 are in 2020. Give both answers.

Example 14

medium
Thirty stickers are shared equally among 66 kids. Then each kid gives 22 back. How many does each kid keep?

Example 15

medium
If 44 children share some apples and each gets 66, how many apples were there?

Example 16

medium
A teacher shares 2828 books equally among 77 tables, then adds 11 extra book to each table. How many books per table now?

Example 17

medium
Share 3636 marbles among 33 kids, but one kid gets a double share. How many marbles does the double-share kid get?

Example 18

challenge
Forty pencils are shared so each of 66 kids gets the same whole number, with the most possible. How many does each get and how many are left?

Example 19

challenge
A prize of $100\$100 is shared among winners so each gets $25\$25. How many winners are there?

Example 20

challenge
Three friends share 4848 stickers equally. Then a fourth friend joins and they reshare all 4848. How many fewer stickers does each original friend now get?

Example 21

medium
Twenty-one grapes are shared among 33 kids equally. How many does each get?

Example 22

medium
Forty stickers are shared among 88 kids equally. How many each?

Example 23

easy
Share 3535 marbles equally among 77 kids. How many marbles per kid?

Example 24

easy
Share 3232 candies equally among 88 kids.

Example 25

easy
Six pizzas with 88 slices each are shared equally among 44 tables. How many slices per table?

Example 26

easy
Share 1616 apples between 22 baskets equally.

Example 27

medium
Twenty-three apples are shared among 44 kids equally. How many each, and how many left over?

Example 28

medium
Each of 55 classrooms gets the same number from a delivery of 9090 books, with leftovers stored. How many books per classroom?

Example 29

medium
If 66 kids share apples equally and each receives 77, how many apples were there?

Example 30

medium
A teacher splits 4242 pencils equally between 77 tables, then each table loses 11. How many pencils remain per table?

Example 31

medium
$84\$84 is shared equally among 77 kids. How much each, in dollars?

Example 32

medium
Twelve donuts are shared among 44 friends, and then 22 more donuts arrive and are added equally to each friend's share. How many does each have now?

Example 33

medium
A teacher shares 6666 pencils among 1111 tables. How many per table?

Example 34

medium
Compare: sharing 3636 among 44 kids vs. sharing 3636 among 66 kids. How much more does each kid get in the first case?

Example 35

medium
7272 stickers are shared among 99 kids equally, then 33 more kids show up and the original 7272 are reshared among everyone. How many fewer stickers per kid?

Example 36

hard
A teacher shares 100100 stickers as evenly as possible among 77 kids. How many does each get, and how many are left?

Example 37

hard
Three siblings share $60\$60 so the oldest gets twice as much as each of the others. How much does the oldest get?

Example 38

hard
Six campers share 4848 granola bars; then 22 more campers join and any leftover bars from the first share are added to the pile and reshared among the 88. How many bars each in round 2?

Example 39

hard
A prize of $144\$144 is split so that each winner gets $12\$12 except the top winner who gets double. If everyone except the top winner gets the same, and there are 1111 winners total, how much does the top winner get?

Example 40

hard
Five friends share a 2020-inch sub equally. How long (in inches) is each piece?

Example 41

hard
A pizza is cut into 1212 slices and shared among 55 kids as evenly as possible without cutting more. How many whole slices each, and what's left?

Example 42

challenge
120120 candies are shared among children and one parent so that the children's total share and the parent's share are in the ratio 3:23 : 2. How many candies does the parent receive?
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Related Concepts

DivisionFractions

Background Knowledge

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

division