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?
- A.
187
- B.
185
- C.
245
- 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.