Question

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

Answer 1

We have,dividend = 55390; divisor = 299; remainder = 75; quotient = ?Now, dividend = divisor ×quotient +remainder
⇒55390 = 299×quotient + 75
⇒ 299×quotient
= 55390 − 75
⇒ 299×quotient = 55315
⇒quotient =55315/299
= 185