On dividing 55390 by 299, the remainder is 75. What will be the quotient…

2023

On dividing 55390 by 299, the remainder is 75. What will be the quotient obtained?

  1. A.

    187

  2. B.

    185

  3. C.

    245

  4. D.

    374

Show answer & explanation

Correct answer: B

To find the quotient when a number is divided, we use the fundamental division formula that relates the dividend, divisor, quotient, and remainder.

The Division Formula
The relationship is expressed as:
Dividend = (Divisor * Quotient) + Remainder

To solve for the Quotient, we rearrange the formula:
Quotient = (Dividend - Remainder) / Divisor

Step-by-Step Calculation
Identify the given values:

Dividend = 55390

Divisor = 299

Remainder = 75

Substitute the values into the rearranged formula:

Quotient = (55390 - 75) / 299

First, perform the subtraction: 55390 - 75 = 55315

Next, perform the division: 55315 / 299 = 185

Therefore, the quotient is 185.

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