Question

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

$3\overline{)6395}$

Answer 1

Let us divide $6395$ 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 $3$

$3÷3=1$

Write $1$ in hundreds place of quotient and write the product $3$ below the hundreds place of dividend, $3-3=0$

Step 3 : Bring down $9$

$9÷3=3$,

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

Step 4 Bring down $5$

$5÷3$, which can not b :e divided

$3$ is the multiple of $3$,which is smaller than $5$

Write $1$ in ones place of quotient and write the product $3$ below the ones place of dividend, $5-3=2$

we get,

$$\begin{gathered} THHTO \\ 2\; 1\; 3\; 1 \\ 3⟌6\mathrm{3\; 9\; 5} \\ -6\downarrow \downarrow \downarrow \\ 03\downarrow \downarrow \\ -3\; \downarrow \downarrow \\ \mathrm{0\; \downarrow \; \downarrow } \\ \mathrm{9\; \downarrow } \\ -\mathrm{9\; \downarrow } \\ \mathrm{0\; \downarrow } \\ 5 \\ -\; 3 \\ 2 \end{gathered}$$

Hence, the required quotient is $2131$ and remainder is $2$