Division

Using multiplication and traditional short division

What’s It All About?

You are going to learn:

How to divide by inversing multiplication and using traditional short division.

What skills should you have already?

You need to be able to multiply and subtract two values using a written method.

Remember that 6 ÷ 3 means “how many threes make 6?”

Division is the INVERSE of Multiplication.

There are different ways of showing division.

6 ÷ 3

The answer is the same in all three cases!

63

3 6

Division

Using Multiplying to DivideFor multiplying, we can use a grid like this:

We can now use it to divide as well as multiply.

Example: 20 4 means “How many 4’s make 20?”

1 2 3 4 5 6 7 8 9

2 2 4 6 8 10 12 14 16 18

3 3 6 9 12 15 18 21 24 27

4 4 8 12 16 20 24 28 32 36

5 5 10 15 20 25 30 35 40 45

6 6 12 18 24 30 36 42 48 54

The answer is 5

Remember that 6 ÷ 3 means “how many threes make 6?”

Work out:

1. 16 ÷ 4

2. 30 ÷ 5

3. 30 ÷ 10

4. 45 ÷ 9

5. 72 ÷ 8

6. 21 ÷ 3

7. 21 ÷ 7

Your Turn

Find the answer to £84 ÷ 4

Set up the division:

4 8 42

Traditional Short Division 1

You have 4 one pound coins to share between 4 people. How many do they each get?

1

How many 4’s make 84?

£84 ÷ 4 = 21

You have 8 ten pound notes to share between 4 people. How many do they get each?

Work out 312 ÷ 12

Set up the division:

12 3122

Traditional Short Division 2

You have 31 ten pound notes to share between 12 people.

How many do they each get?

How many 12’s make 312?

You have 3 one hundred pound notes to share between 12 people. Can you share out the notes?NoChange them into ten pound notes...

This question is not about money, but it is easier if

you think of it in that way...3

12 2 = 24 and 12 3 = 36 How many notes are left?

31 – 24 = 7

Work out 312 ÷ 12

Set up the division:

12 3122

Traditional Short Division 2

Change them into one pound coins.

6

312 ÷ 12 = 26

3

You have 72 one pound coins to share between 12 people.How many do they each get?12 6 = 72

7

How many notes are left?31 – 24 = 7

Work out 484 ÷ 11

Set up the division:

11 4 8 44

Traditional Short Division 3

You have 48 ten pound notes to share between 11 people.How many do they each get?

How many 11’s make 484?

You have 4 one hundred pound notes to share between 11 people. Can you share out the notes?NoChange them into ten pound notes...

4

11 4 = 44 and 11 5 = 55 How many notes are left?

48 – 44 = 4

Work out 484 ÷ 11

Set up the division:

11 4 8 4

Traditional Short Division 3

Change them into one pound coins.

4

484 ÷ 11 = 44

You have 44 one pound coins to share between 11 people.How many do they each get?11 4 = 44

4

44

How many notes are left?48 – 44 = 4

How many 11’s make 484?

Remember that 6 ÷ 3 means “how many threes make 6?”

Work out:

1. 728 ÷ 8

2. 219 ÷ 3

3. 21749 ÷ 7

4. 384 ÷ 12

5. 2190 ÷ 10

6. 273 ÷ 13

7. 2310 ÷ 11

Your Turn

End