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Find the quotient using the division algorithm where the division of 55390 by 299 yields the remainder 75.

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185

815

238

answer is A.

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Detailed Solution

The given data is as follows.
The division of 55390 by 299 yields the remainder 75.
As we know,

Dividend = Divisor × Quotient + Remainder

We assume that the quotient is x.
We shall perform the the calculation in the following way.

Divisor × Quotient + Remainder = Dividend 299 × x + 75 = 55390 299 x = 55390 − 75 299 x = 55315 x = 55315299

We shall now perform the long division in the following way.

29918555315 − 299 ¯ 2541 − 2392 ¯ 1495 − 1495 ¯ 0

Hence, we get the value of x.

x = 55315299 = 185

Therefore, the required quotient is 185 and, so the correct option is 1.

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