Page 147 - New Medley 5 Semester 1

Example 15: Find the number that, when added to 725832, will make
it completely divisible by 468.

Solution: Here, we have to find the difference between divisor and

remainder because when this difference will be added to
the dividend, it will be divisible by the divisor.

1 5 5 0
468 7 2 5 8 3 2

– 4 6 8
2 5 7 8

– 2 3 4 0
2 3 8 3

– 2 3 4 0
4 3 2

– 0 0 0
4 3 2

From the division 725832 ÷ 468, we get Q = 1550 and
R = 432.

So, the required number = 468 – 432 = 36

Note: Sometimes, we are asked to find a number which when subtracted
from the given number will make it divisible by another number. In that

case, the remainder is the required number. Here, 432 will be the required
number.

EXERCISE 2.4

A. Find the quotient and remainder and check.

1. 38 9854 2. 78 49758 3. 200 47853
4. 308 687604 5. 88 608005 6. 526 987600

B. Divide the following:

1. 36950 ÷ 75 2. 497461 ÷ 32 3. 6749563 ÷ 89

4. 27698 ÷ 230 5. 857216 ÷ 345 6. 9874628 ÷ 915

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