Question

Find the quotient and remainder and verify the answers.

$331÷3$

Answer 1

Step 1: Steps for division

1 : Divide $3$ hundreds by $3$, i.e, $3÷3=1$

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

2 : Bring down $3$

$3÷3=1$,

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

3 : Bring down $1$

$1÷3$, Which can not be divided

$0$ is the multiple of $3$,which is smaller than $1$

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

we get,

$$\begin{gathered} \text{H T O} \\ 110 \\ 3⟌331 \\ -3\downarrow \downarrow \\ 03\downarrow \\ -3\downarrow \\ 01 \\ -0 \\ 1 \end{gathered}$$

Hence, the required quotient is $110$ and remainder is $1$

Step 2: Verification

$$\begin{gathered} \text{Dividend}=\left(\text{Divisor × Quotient}\right)+\text{Remainder} \\ \Rightarrow 331=\left(3\times 110\right)+1 \\ \Rightarrow 331=330+1 \\ \Rightarrow 331=331 \end{gathered}$$

Hence, the result is verified.