Question

on dividing 456789 by a certain number the quotient 1952 remainder 21 find the number

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{divisor}=\mathrm{x} \\ \mathrm{Now},\mathrm{dividend}=\mathrm{divisor}\times \mathrm{quotient}+\mathrm{remainder} \\ \Rightarrow 456789=\mathrm{x}\times 1952+21 \\ \Rightarrow 1952\mathrm{x}=456789-21 \\ \Rightarrow 1952\mathrm{x}=456768 \\ \Rightarrow \mathrm{x}=\frac{456768}{1952}=234 \end{gathered}$$