Stage 1
Stage 6
Counting in twos. Using objects to group and count in
twos. Number rhymes in twos such as 2,4,6,8. Hopping in
twos.
Chunking with TU ÷ U
E.g. 56 ÷ 3 = 18 r2
18 r2
3 ) 56
Stage 2
-30
Counting on or back in 2, 5 and 10. Grouping practical
objects or pictures in 2s, 5s and 10s. Sharing objects
between groups.
(10
26
-1 5
(5
Understanding division as repeated subtraction using
number lines and hundred squares to support.
E.g. 9 – 3 – 3 = 3
0
1
x 3)
11
- 9
Stage 3
x 3)
(3
x 3)
2
Answer = 18 r2
Check (18 x 3) + 2 = 56
Leading to chunking with HTU ÷ U
E.g. 256 ÷ 7 = 36 r4
2
3
-3
4
5
6
-3
7
8
36 r4
9
7)256
-3
- 70
x 7)
(20
x 7)
(6
x 7)
186
Grouping of objects:
- 140
E.g. 8 objects grouped into groups of 4 = 2 groups of 4
Sharing objects between groups:
E.g. 8 shared between 4 groups = 2 in each group
Stage 4
Grouping by repeated subtraction using a number line.
Examples without remainder
E.g. 12 ÷ 3 = 4
-3
-3
-3
46
Division
= 2 groups of 4
-3
(10
- 42
4
Answer = 36 r4
Check (36 x 7) + 4 = 256
Stage 7
Short division
E.g. 284 ÷ 6 = 47 r2
4 7 r2
6)2 844
Remainder as a fraction
47 r2 is the same as
47
2
or
6
47
1
3
Stage 8
Long division
E.g. 284 ÷ 15 = 18 r14
1 8r 14
15) 284
- 1 5___
1 34
- 1 20
14
Stage 9
Stage 5
Remainder as decimals for short division
Division as repeated subtraction
47 r2 is the same as 47.33
Examples as a remainder
47. 33
6)2844.2 020
E.g. 72 ÷ 5 = 14 r2
Remainder as decimals for long division
0
22
2
-20
(4x5
72
50
(10x5)
E.g. 8362 ÷ 24 = 348.41
3 4 8.4 1 (rounded to 2 decimal places)
24) 8 3 6 2.0 0
72
72
- 50
1 1 6
(10 x 5)
2
96
202
22
- 20
-
(4 x 5)
Remainder
-
192
100
-
96
40
Answer = 14 r2
-
24
16