Question

Divide the following one and check by division algorithm.

$12345$ by $975$

Answer 1

Given: $12345$ by $975$

$$\begin{gathered} 9751212345 \\ -975 \\ \_\_\_\_\_ \\ 2590 \\ -1950 \\ \_\_\_\_\_\_ \\ 645 \end{gathered}$$

Here, Divisor: $975$ Quotient : $12$ remainder: $645$

Using the division algorithm, we have

Dividend$=$ Divisor $\times$Quotient $+$remainder

Hence, the required answer is as follows:

$$\begin{gathered} 12345=975\times 12+645 \\ =11700+645 \\ =12345 \end{gathered}$$