Question

Find the quotient and remainder and verify the answers.

$7265÷3$

Answer 1

Let us divide $7265$ by $3$

Step 1 : Divide $7$ thousands by $3$, i.e, $7÷3$

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

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

Step 2 : Bring down $2$ along with remainder $1$

$12÷3=4$

Write $4$ in hundreds place of quotient and write the product $12$ below the hundreds place of dividend, $12-12=0$

Step 3 : Bring down $6$

$6÷3=2$,

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

Step 4 : Bring down $5$

$5÷3$, which can not be 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,

$$\begin{gathered} THHTO \\ 2421 \\ 3⟌7265 \\ -6\downarrow \downarrow \downarrow \\ 12\downarrow \downarrow \\ -12\downarrow \downarrow \\ 0\mathrm{0\; \downarrow \; \downarrow } \\ 6\downarrow \\ -6\downarrow \\ \mathrm{0\; \downarrow } \\ 5 \\ -\; 3 \\ 2 \end{gathered}$$

Hence, the required quotient is $2421$ and remainder is $2$

Verification :

$$\begin{gathered} \text{Dividend}=\left(\text{Divisor × Quotient}\right)+\text{Remainder} \\ \Rightarrow 7265=\left(3\times 2421\right)+2 \\ \Rightarrow 7265=7263+2 \\ \Rightarrow 7265=7265 \end{gathered}$$

Hence, its verified.