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Question

On dividing 55390 by 299, the remainder is 75. Find the quotient using division algorithm.

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Solution

Here, divisor = 299, dividend = 55390 and remainder = 75.
dividend = divisor × quotient + remainder
55390 = 299 × quotient + 75
299× quotient = 55390 − 75 = 55315
quotient = 55315 ÷ 299 = 185

Hence, the quotient is 185.

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