Question

Find the quotient and remainder and verify the answers.

$5005÷2$

Answer 1

Let us divide $5005$ by $2$

Step 1 : Divide $5$ thousands by $2$,

$5÷2$, Which can not be divided

$4$ is the multiple of $2$,which is smaller than $5$

Write $2$ in thousands place of quotient and write the product $4$ below the thousands place of dividend, $5-4=1$

Step 2 : Bring down $0$ along with remainder $1$

$10÷2=5$,

$10$ is the multiple of $2$,

Write $5$ in hundreds place of quotient and write the product $10$ below the hundreds place of dividend, $10-10=0$

Step 3 : Bring down $0$

$0÷2$, Which can not be divided

$0$ is the multiple of $2$,

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 $5$

$5÷2$, which can not be divided

$4$ is the multiple of $2$,which is smaller than $5$

Write $2$ in ones place of quotient and write the product $4$ below the ones place of dividend, $5-4=1$

we get,

$$\begin{gathered} THHTO \\ 2502 \\ 2⟌5005 \\ -4\downarrow \downarrow \downarrow \\ 10\downarrow \downarrow \\ -10\downarrow \downarrow \\ 000\downarrow \\ -0\downarrow \\ 05 \\ -4 \\ 1 \end{gathered}$$

Hence, the required quotient is $2502$ and remainder is $1$

Verification :

$$\begin{gathered} \text{Dividend}=\left(\text{Divisor × Quotient}\right)+\text{Remainder} \\ \Rightarrow 5005=\left(2\times 2502\right)+1 \\ \Rightarrow 5005=5004+1 \\ \Rightarrow 5005=5005 \end{gathered}$$

Hence, its verified.