13 279 21
6
Example # Divide 279 by 13 and check the result by division algorithm.
Solution. By actual division, we have
Dividend = 279, divisor = 13, quotient = 21
and remainder = 6.
Check: divisor x quotient + remainder
13 x 21 + 6 = 273 + 6 = 279
dividend
Hence, the result is correct.
Example 1. Find the greatest 4-digit number which is exactly divisible by 135
Solution. The greatest 4-digit number = 9999.
135 9999 74
We divide 9999 by 135 and find the remainder.
945
.. The smallest number which should be subtracted from
9999 so that the remaining number is exactly divisible by 135
is 9
.. The
9
required number 9999-9-9990.
Qt (a) Divide 7750 by 17 and check the result by division algorithm.
(b) Divide 6528 by 29 and check by division algorithm.
Q2(a) Find the largest 3-digit number which is exactly divisible by 47.
(b) Find the greatest 4-digit number which is exactly divisible by 357.
Q3 (a) Find the number which when divided by 38 gives the quotient 23 and remainder
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