Question

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

Answer 1

Answer:

The divisor is 316.

Given:

Dividend = 59761, The number divided by another number.

Quotient = 189, The result obtained by dividing one number by another

Remainder = 37, The remaining leftover in the division process

Since all dividend, quotient and remainder is given, the left out divisor can be obtained by the below formula by assuming the divisor to be x.

\begin{gathered}\begin{array}{r}{\text { We know, (Divisor } \times \text {Quotient} )+\text { Remainder }=\text {Dividend}} \\ {(x \times 189)+37=59761} \\ {189 x+37=59761} \\ {189 x=59761-37} \\ {189 x=59724} \\ {x=\frac{59724}{189}=316}\end{array}\end{gathered}

We know, (Divisor ×Quotient)+ Remainder =Dividend

(x×189)+37=59761

189x+37=59761

189x=59761−37

189x=59724

x=

189

59724

=316

Answer 2

Answer:

Step-by-step explanation:

divisor = x

quotient = 189

remainder = 37

dividend = 59761

dividend = divisor * quotient + remainder

59761 = x* 189+37

59761-37= 189x

59724 = 189 x

x= 59724/189