Page 38 - Start Up Mathematics_5

Check: (Quotient × Divisor) + Remainder Working

= (3,811 × 23) + 0 1
= 87,653 3 8 1 1
1
= Dividend × 2 3
Hence verified. 1 1 4 3 3

Example 21: Divide 68,10,359 by 1,324. + 7 6 2 2 0
8 7 6 5 3
Solution: 5 1 4 3
1324 6 8 1 0 3 5 9
– 6 6 2 0 ↓
1 9 0 3
– 1 3 2 4
5 7 9 5
– 5 2 9 6
4 9 9 9
– 3 9 7 2
1 0 2 7

So, 68,10,359 ÷ 1,324 = 5,143 and remainder = 1,027.

Example 22: Divide 2,68,97,015 by 73 and check your answer.

Solution: 3 6 8 4 5 2
73 2 6 8 9 7 0 1 5
– 2 1 9 ↓
4 9 9
– 4 3 8
6 1 7
– 5 8 4
3 3 0
– 2 9 2
3 8 1
– 3 6 5
1 6 5
– 1 4 6
1 9

So, 2,68,97,015 ÷ 73 = 3,68,452 and remainder = 19.
Check: (Quotient × Divisor) + Remainder

= (3,68,452 × 73) + 19

= 2,68,96,996 + 19 = 2,68,97,015

= Dividend

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