Division as Sharing Examples: 47 Problems with Answers

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

Write the sharing division:

18 \div 3 = ?

Full solution

2
Think: share 18 into 3 equal groups.
3
$3 \times 6 = 18$ , so each group has 6.
4
Each friend gets 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?

Example 3

easy

Twenty-four cookies are split equally among

6

plates. How many on each plate?

Example 4

medium

A teacher has

45

books. She shares them equally among

5

tables and adds one more book per table from a separate box. Books per table now?

Example 5

hard

Distinguish: 'Share

30

among

5

kids' vs. 'How many groups of

5

are in

30

?' 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

12

cookies equally among

4

children. How many does each get?

Example 4

easy

Divide

20

candies among

5

kids equally. How many per kid?

Example 5

easy

10

apples between

2

baskets equally. How many in each basket?

Example 6

easy

15

stickers among

3

friends. How many each?

Example 7

easy

Eight balloons are shared equally by

4

kids. How many balloons per kid?

Example 8

easy

Divide

18

pencils among

6

students equally. How many each?

Example 9

easy

9

marbles among

3

jars. How many per jar?

Example 10

easy

Twenty-four crackers are shared by

8

children. How many crackers each?

Example 11

medium

13

cookies among

4

kids equally. How many does each get and how many are left over?

Example 12

medium

A pizza of

12

slices is shared among

5

friends. How many whole slices each, and how many remain?

Example 13

medium

Distinguish:

20

shared among

5

kids vs. how many groups of

5

are in

20

. Give both answers.

Example 14

medium

Thirty stickers are shared equally among

6

kids. Then each kid gives

2

back. How many does each kid keep?

Example 15

medium

4

children share some apples and each gets

6

, how many apples were there?

Example 16

medium

A teacher shares

28

books equally among

7

tables, then adds

1

extra book to each table. How many books per table now?

Example 17

medium

36

marbles among

3

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

6

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

is shared among winners so each gets

\$25

. How many winners are there?

Example 20

challenge

Three friends share

48

stickers equally. Then a fourth friend joins and they reshare all

48

. How many fewer stickers does each original friend now get?

Example 21

medium

Twenty-one grapes are shared among

3

kids equally. How many does each get?

Example 22

medium

Forty stickers are shared among

8

kids equally. How many each?

Example 23

easy

35

marbles equally among

7

kids. How many marbles per kid?

Example 24

easy

32

candies equally among

8

kids.

Example 25

easy

Six pizzas with

8

slices each are shared equally among

4

tables. How many slices per table?

Example 26

easy

16

apples between

2

baskets equally.

Example 27

medium

Twenty-three apples are shared among

4

kids equally. How many each, and how many left over?

Example 28

medium

Each of

5

classrooms gets the same number from a delivery of

90

books, with leftovers stored. How many books per classroom?

Example 29

medium

6

kids share apples equally and each receives

7

, how many apples were there?

Example 30

medium

A teacher splits

42

pencils equally between

7

tables, then each table loses

1

. How many pencils remain per table?

Example 31

medium

\$84

is shared equally among

7

kids. How much each, in dollars?

Example 32

medium

Twelve donuts are shared among

4

friends, and then

2

more donuts arrive and are added equally to each friend's share. How many does each have now?

Example 33

medium

A teacher shares

66

pencils among

11

tables. How many per table?

Example 34

medium

Compare: sharing

36

among

4

kids vs. sharing

36

among

6

kids. How much more does each kid get in the first case?

Example 35

medium

72

stickers are shared among

9

kids equally, then

3

more kids show up and the original

72

are reshared among everyone. How many fewer stickers per kid?

Example 36

hard

A teacher shares

100

stickers as evenly as possible among

7

kids. How many does each get, and how many are left?

Example 37

hard

Three siblings share

\$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

48

granola bars; then

2

more campers join and any leftover bars from the first share are added to the pile and reshared among the

8

. How many bars each in round 2?

Example 39

hard

A prize of

\$144

is split so that each winner gets

\$12

except the top winner who gets double. If everyone except the top winner gets the same, and there are

11

winners total, how much does the top winner get?

Example 40

hard

Five friends share a

20

-inch sub equally. How long (in inches) is each piece?

Example 41

hard

A pizza is cut into

12

slices and shared among

5

kids as evenly as possible without cutting more. How many whole slices each, and what's left?

Example 42

challenge

120

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 : 2

. How many candies does the parent receive?

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Related Concepts

Division Fractions

Background Knowledge

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

division