Question

Find the largest number of $5$-digits which is exactly divisible by $57$

Answer 1

Calculating the largest number of 5-digit

The largest number of $5$-digits: $99999$

$$\begin{gathered} 99999÷57 \\ 99999=57\times 1754+21 \end{gathered}$$

$21$ is remainder

the largest number of $5$-digits which is exactly divisible by $57$= $57\times 1754$

=$99978$

Hence the number is $99978$.