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# Division

## Definition:

### It is the result of "fair sharing".

Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates?

Answer: 12 divided by 3 is 4: they get 4 each.

## Symbols

 ÷ / We use the ÷ symbol, or sometimes the / symbol to mean divide: 12 ÷ 3 = 4 12 / 3 = 4 I will use both symbols here so you get used to it.

## Opposite of Multiplying

Division is the opposite of multiplying. If you know a multiplication fact you can find a division fact:

Example: 3 × 5 = 15, so 15 / 5 = 3. (Also 15 / 3 = 5.)

Why? Well it is easy to understand if you think of the numbers in rows and columns like in this illustration:

Multiplication... ...Division
3 groups of 5 make 15... so 15 divided by 3 is 5

and also:

5 groups of 3 make 15... so 15 divided by 5 is 3.

So there are four related facts:

• 3 × 5 = 15
• 5 × 3 = 15
• 15 / 3 = 5
• 15 / 5 = 3

Example: What is 56 ÷ 7 ?

Searching around the multiplication table you find that 56 is 7 × 8, so 56 divided by 7 must be 8. Answer: 56 ÷ 7 = 8.

## Names

There are special names for each number in a division:

dividend ÷ divisor = quotient

Example: in 12 ÷ 3 = 4:

• 12 is the dividend
• 3 is the divisor
• 4 is the quotient

## Exercises

Try these division worksheets.