Question

On dividing $26,781$ by a certain number the quotient is $2,231$ and the remainder $9$, what is the divisor?

Answer 1

Dividend$=26781$ , Quotient$=2231$ remainder$=9$

We know that dividend$=$divisors$\times$quotient$+$remainder

$26781=$divisors$\times$2231+9$

Divisor$\times$2231=26781-9=26,772‬$

Divisor$=\frac{26772}{2231}=12$

So, the divisor is $12$