Page 39 - Start Up Mathematics_5

Example 23: Divide 9,21,346 by 700.

Solution: 1 3 1 6
700 9 2 1 3 4 6
– 7 0 0 ↓
2 2 1 3
– 2 1 0 0
1 1 3 4
– 7 0 0
4 3 4 6
– 4 2 0 0
1 4 6 So, 9,21,346 ÷ 700 = 1,316 and remainder = 146.

Division of a number by 10, 100 and 1,000

To divide a number by 10, 100, 1,000, 10,000, etc. count the number of zeros that follow 1.
The remainder is the number formed by the digits equal to the number of zeros starting
from the ones place and moving left. The remaining digits form the quotient.
Example 24: Divide: (a) 38,175 by 10, (b) 6,25,048 by 100 and Mental Maths
(c) 5,18,63,204 by 1,000
(a) 76,682 ÷ 100
Solution: (a) 38,175 ÷ 10 = 3,817; remainder = 5 (b) 9,401 ÷ 10

(b) 6,25,048 ÷ 100 = 6,250; remainder = 48 (c) 86,734 ÷ 1,000
(c) 5,18,63,204 ÷ 1,000 = 51,863; remainder = 204 (d) 2,78,914 ÷ 1,000

Division when divided and divisor both end with zero(s)

When the dividend and divisor both end with zero(s), cancel the common number of zeros
from both and then divide. This is called the cancellation method. We add the zeros back
to the remainder, if any, to get the answer.

Example 25: Divide: (a) 3,65,700 by 30, (b) 9,87,65,300 by 500 and (c) 2,06,43,900 by 6,000

Solution: (a) 3,65,700 ÷ 30 Dividend = 3,65,700 Divisor = 30

1 2 1 9 0
3 3 6 5 7 0

– 3 ↓
0 6 A Challenge!
– 6
0 5 What is the quotient when
– 3 8,76,92,381 is divided by
2 7 10,000?
– 2 7
0 0
– 0
0 So, 3,65,700 ÷ 30 = 12,190.

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