Division
Method 1 - Dividing Using a Number Line
Chunking is based on the idea that 18 ÷ 3 means:
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A number line can be used to find out how many lots of 3 there are in 18. We can either count forward or backward.
e.g. 18 ÷ 3
e.g. 18 ÷ 3
Count up the groups of 3:
There are 6 groups of 3: 18 ÷ 3 = 6
Method 2 - Chunking
Chunking is used when dividing larger numbers.
e.g. 95 ÷ 5
Step 1: Start by thinking about the 5 times tables that you already know.
I know that 12 x 5 = 60, so I can take away 12 lots of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
I know that 6 x 5 = 30, so I can take away 6 lots of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
6 lots of 5 (6 x 5) 3 0 -
5
I know that 1 x 5 = 5, so I can take away 1 lot of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
6 lots of 5 (6 x 5) 3 0 -
5
1 lots of 5 (1x 5) 5 -
0
Step 2: Count up the lots of 5:
12 + 6 + 1 = 19
Chunking can also be used with much larger numbers.
e.g. 192 ÷ 6
Step 1: Start by thinking about the 6 times tables that you already know.
I know that 12 x 6 = 72, so I can take away 12 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
1 2 0
I know that I know that 12 x 6 = 72, so I can take away another 12 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
0 11 1
1 2 0
12 lots of 6 (12 x 6) 7 2 -
4 8
I know that 8 x 6 = 48, so I can take away 8 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
0 11 1
1 2 0
12 lots of 6 (12 x 6) 7 2 -
4 8
8 lots of 6 (8 x 6) 4 8 -
0 0
Step 2: Count up the lots of 6:
12 + 12 + 8 = 32
Method 2 - Chunking
Chunking is used when dividing larger numbers.
e.g. 95 ÷ 5
Step 1: Start by thinking about the 5 times tables that you already know.
I know that 12 x 5 = 60, so I can take away 12 lots of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
I know that 6 x 5 = 30, so I can take away 6 lots of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
6 lots of 5 (6 x 5) 3 0 -
5
I know that 1 x 5 = 5, so I can take away 1 lot of 5.
9 5
12 lots of 5 (12 x 5) 6 0 -
3 5
6 lots of 5 (6 x 5) 3 0 -
5
1 lots of 5 (1x 5) 5 -
0
Step 2: Count up the lots of 5:
12 + 6 + 1 = 19
Chunking can also be used with much larger numbers.
e.g. 192 ÷ 6
Step 1: Start by thinking about the 6 times tables that you already know.
I know that 12 x 6 = 72, so I can take away 12 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
1 2 0
I know that I know that 12 x 6 = 72, so I can take away another 12 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
0 11 1
1 2 0
12 lots of 6 (12 x 6) 7 2 -
4 8
I know that 8 x 6 = 48, so I can take away 8 lots of 6.
1 9 2
12 lots of 6 (12 x 6) 7 2 -
0 11 1
1 2 0
12 lots of 6 (12 x 6) 7 2 -
4 8
8 lots of 6 (8 x 6) 4 8 -
0 0
Step 2: Count up the lots of 6:
12 + 12 + 8 = 32