# What Is Division? Sharing and Grouping

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- Published: 2026-10-31T14:56:10+05:30
- Author: MAHENDRA MANCHIKALAPATI

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You have 12 cookies and 3 friends. How can you share them fairly? This is a job 
for **division**. Division means splitting a total into **equal parts**. In this
lesson you will learn the two ways to think about division and how to write it.

## Division as sharing

**Sharing** means giving out a total equally to a set number of groups. You know
how many groups, and you want to find how many go in each group.

### Example

Share 12 cookies equally between 3 friends. Give one cookie to each friend, then
another, and keep going until the cookies run out. Each friend gets **4** cookies.

We write: **12 ÷ 3 = 4**

## Division as grouping

**Grouping** means making groups of a set size. You know how many go in each group,
and you want to find how many groups you can make.

### Example

You have 12 cookies and want to put **4** cookies on each plate. How many plates
do you need? Make groups of 4: one plate, two plates, three plates. You need **3**
plates.

We still write: **12 ÷ 4 = 3**

  |  Type |  What you know |  What you find |  Example |  
   |  Sharing |  number of groups |  how many in each |  15 sweets shared by 5 children: 3 each |  
 |  Grouping |  size of each group |  number of groups |  15 sweets in bags of 5: 3 bags |

## Division words

In a division sentence like **20 ÷ 4 = 5**:

 * 20 is the **dividend**, the total being divided.
 * 4 is the **divisor**, the number you divide by.
 * 5 is the **quotient**, the answer.

The symbol **÷** is read “divided by”. Division problems often use words like _share_,
_split_, _each_, _equal groups_ and _per_.

## Division as repeated subtraction

Another way to divide is to keep subtracting the same number until you reach zero.
For 15 ÷ 5: 15 − 5 = 10, 10 − 5 = 5, 5 − 5 = 0. You subtracted 5 three times, so
15 ÷ 5 = **3**.

### Division undoes multiplication

Multiplication puts equal groups together. Division splits a total into equal groups.
They are opposites! If you know 4 × 5 = 20, you can work out that 20 ÷ 5 = 4 and
20 ÷ 4 = 5. You will explore this in the next lesson.

### Dividing by 1 and by itself

 * Any number divided by 1 is itself: 9 ÷ 1 = 9.
 * Any number (except 0) divided by itself is 1: 9 ÷ 9 = 1.
 * We cannot divide by 0. You cannot share things into zero groups!

## Key takeaways

 * Division splits a total into equal parts.
 * Sharing finds how many in each group; grouping finds how many groups.
 * In 20 ÷ 4 = 5, the answer 5 is the quotient.
 * Division is the opposite of multiplication.

## Practice

 1. Share 18 stickers equally among 3 children. How many each?
 2. 24 eggs are packed in boxes of 6. How many boxes?
 3. What is 7 ÷ 7?

Answers: 1 is 18 ÷ 3 = 6 each. 2 is 24 ÷ 6 = 4 boxes. 3 is 1.

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