Question

On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37. Find the divisor.

Answer 1

Dividend = 59761, quotient = 189, remainder = 37 and divisor = ?

Dividend = divisor × quotient + remainder
⇒ 59761 = divisor × 189 + 37
⇒ 59761 − 37 = divisor × 189
⇒ 59724 = divisor × 189
⇒ Divisor = 59724 ​÷ 189


Hence, divisor =316