Question

Find the quotient and remainder and verify the answers.

$506÷5$

Answer 1

Let us divide $506$ by $5$

Step 1 : Divide $5$ hundreds by $5$,

$5÷5=1$,

Write $1$ in the hundreds place of the quotient and write product $5$, below the dividend in the hundreds place. $5-5=0$

Step 2 : Bring down $0$

$0÷5$, which can not be divided

$0$ is the multiple of $5$,

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

Step 3 : Bring down $6$

$6÷5$, which can not be divided

$5$ is the multiple of $5$, which is smaller than $6$

Write $1$ in the ones place of the quotient and write $5$ below the dividend in ones place. $6-5=1$

$$\begin{gathered} \text{H T O} \\ 101 \\ 5⟌506 \\ -5\downarrow \downarrow \\ 00\downarrow \\ -0\downarrow \\ 0\downarrow \\ 6 \\ -5 \\ 1 \end{gathered}$$

Hence, the required quotient is $101$ and remainder is $1$

Verification :

$$\begin{gathered} \text{Dividend}=\left(\text{Divisor × Quotient}\right)+\text{Remainder} \\ \Rightarrow 506=\left(5\times 101\right)+1 \\ \Rightarrow 506=505+1 \\ \Rightarrow 506=506 \end{gathered}$$

Hence, its verified.