Question

Work out the following divisions and find out Quotient and Remainder:

$4\overline{)8406}$

Answer 1

Let us divide $8406$ by $4$

Step 1 : Divide $8$ thousands by $4$, i.e, $8÷4=2$

Write $2$ in thousands place of quotient and write the product $8$ below the thousands place of dividend, $8-8=0$

Step 2 : Bring down $4$

$4÷4=1$

Write $1$ in hundreds place of quotient and write the product $4$ below the hundreds place of dividend, $4-4=0$

Step 3 : Bring down $0$

$0÷4$,

Write $0$ in tens place of quotient and write the product $0$ below the tens place of dividend, $0-0=0$

Step 4 : Bring down $6$

$6÷4$, which can not be divided

$4$ is the multiple of $4$,which is smaller than $6$

Write $1$ in ones place of quotient and write the product $4$ below the ones place of dividend, $6-4=1$

we get,

$$\begin{gathered} THHTO \\ 2101 \\ 4⟌8406 \\ -8\downarrow \downarrow \downarrow \\ 04\downarrow \downarrow \\ -4\downarrow \downarrow \\ \mathrm{0\; \downarrow }\downarrow \\ 0\downarrow \\ -0\downarrow \\ 0\downarrow \\ 6 \\ -4 \\ 2 \end{gathered}$$

Hence, the required quotient is $2101$ and remainder is $2$