Question

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

$3\overline{)6907}$

Answer 1

Let us divide $6907$ by $3$

Step 1 : Divide $6$ thousands by $3$, i.e, $6÷3=2$

Write $2$ in thousands place of quotient and write the product $6$ below the thousands place of dividend, $6-6=0$

Step 2 : Bring down $9$

$9÷3=3$

Write $3$ in hundreds place of quotient and write the product $9$ below the hundreds place of dividend, $9-9=0$

Step 3 : Bring down $0$

$0÷3$,

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 $7$

$7÷3$, which can not be divided

$6$ is the multiple of $3$,which is smaller than $7$

Write $2$ in ones place of quotient and write the product $6$ below the ones place of dividend, $7-6=1$

we get,

$$\begin{gathered} THHTO \\ 2302 \\ 3⟌6907 \\ -6\downarrow \downarrow \downarrow \\ 09\downarrow \downarrow \\ -9\downarrow \downarrow \\ \mathrm{0\; \downarrow \; \downarrow } \\ 0\downarrow \\ -0\downarrow \\ \mathrm{0\; \downarrow } \\ 7 \\ -6 \\ 1 \end{gathered}$$

Hence, the required quotient is $2302$ and remainder is $1$