Learning Enhancement Team
Model Answers:
Division by
Chunking
Division by Chunking
study guide
(a)
half of 152 is 76. Halving is the same as dividing by 2 and so you can use chunking
to find the answer:
52
152 100 50 2



2
2
2 2
 50  25  1 76
(b)
774  2  387
74
774 700 70 4



2
2
2 2
 350  35  2  387
(c)
3498
 1749
2
498
98
3498 3000 400 90 8




2
2
2
2 2
 1500  200  45  4  1749
(d)
72
 24
3
72 60 12


3
3
3
 20  4  24
(e)
282 divided by 3 is 94.
282 270 12


3
3
3
3
6
9
12
15
18
21
24
27
Use this
multiplication
table to help
with questions
d, e and f.
 90  4  94
(f)
1
2
3
4
5
6
7
8
9
5811  3  1937
2811
111
5811 3000 2700 90 21




3
3
3
3
3
 1000  900  30  7  1937
(g)
512  4  128
112
512 400 80 32



4
4
4
4
 100  20  8  128
(h)
a quarter of 832 is 208.
832 
800 32

4
4
 200  8  208
Use this
multiplication
table to help
with questions
g and h.
4
8
12
16
20
24
28
32
36
1
2
3
4
5
6
7
8
9
(i)
8900
 1780
5
3900
8900 5000 3500 400



5
5
5
5
 1000  700  80  1780
(j)
705  5  141
205
705 500 200 5



5
5
5
5
Use this
multiplication
table to help
with questions i
and j.
5
10
15
20
25
30
35
40
45
1
2
3
4
5
6
7
8
9
 100  40  1 141
(k)
414
 69
6
414 360 54


6
6
6
 60  9  69
(l)
3102 divided by 6 is 517.
102
3102 3000 60 42



6
6
6
6
 500  10  7  517
Use this
multiplication
table to help
with questions k
and l.
6
12
18
24
30
36
42
48
54
1
2
3
4
5
6
7
8
9
(m)
2506
 358
7
406
2506 2100 350 56



7
7
7
7
Use this
multiplication
table to help
with question
m.
 300  50  8  358
(n)
an eighth of 456 is 57.
456 400 56


8
8
8
Use this
multiplication
table to help
with question n.
 50  7  57
(o)
774
 86
9
774 720 54


9
9
9
 80  6  86
Use this
multiplication
table to help
with question o.
7
14
21
28
35
42
49
56
63
1
2
3
4
5
6
7
8
9
8
16
24
32
40
48
56
64
72
1
2
3
4
5
6
7
8
9
9
18
27
36
45
54
63
72
81
1
2
3
4
5
6
7
8
9
1.
The following divisions have remainders. Use the table in the study guide: Division
by Chunking to help you express your answers as a decimal.
(a)
half of 755 is 377.5
55
5
755 700 50 4 1


 
2
2
2 2 2
 350  25  2  0.5  377.5
(b)
1421  3  473.6
221
11
1421 1200 210 9 2


 
3
3
3
3 3
 400  70  3  0.6  473.6
(c)
8991
 2247 .75
4
991
191
31
8991 8000 800 160 28 3





4
4
4
4
4 4
 2000  200  40  7  0.75  2247 .75
(d)
412
 82.4
5
412 400 10 2



5
5
5 5
 80  2  0.4  82.4
(e)
777 divided by 6 is 129.5
177
57
777 600 120 54 3




6
6
6
6 6
 100  20  9  0.5  129.5
(f)
311  8  38.875
71
311 240 64 7



8
8
8 8
 30  8  0.875  38.875
(g)
3262  9  362.4
562
22
3262 2700 540 18 4




9
9
9
9 9
 300  60  2  0.4  362.4
(h)
a fifth of 832 is166.4
32
832 800 30 2



5
5
5 5
 160  6  0.4  166.4
(i)
7562
 2520 .6
3
62
1562
7562 6000 1500 60 2




3
3
3
3 3
 2000  500  20  0.6  2520 .6
(j)

316  9  35.1
46
316 270 45 1



9
9
9 9
 30  5  0.1  35.1
(k)
99
 16.5
6
39
99 60 36 3



6
6
6 6
 10  6  0.5  16.5
(l)
653 divided by 3
53
23
653 600 30 21 2




3
3
3
3 3
 200  10  7  0.6  217 .6
These model answers are one of a
series on mathematics produced by
the Learning Enhancement Team.
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