Question

Find the quotient and remainder and verify your answers:

$345÷10$

Answer 1

Step 1 : Solve Division:

1 : Divide $3$ hundreds by $10$

$3÷10$, which can not be divided

$0$ is the multiple of $10$ , which less than $3$

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

2: Bring down $4$, along with the remainder $3$

$34÷10$, which can not be divided

$30$ is the multiple of $10$ , which less than $34$

Write $3$ in tens place of the quotient and write the product $30$, below the dividend in the tens place. $34-30=4$

3: Bring down $5$, along with the remainder $4$

$45÷10$, which can not be divided

$40$ is the multiple of $10$ , which less than $45$

Write $4$ in ones place of the quotient and write the product $40$, below the dividend in the ones place. $45-40=5$

So, we get

$$\begin{gathered} \text{H T O} \\ 034 \\ 10\overline{)34}5 \\ -0\downarrow \downarrow \\ 34\downarrow \\ -30\downarrow \\ 45 \\ -40 \\ 5 \end{gathered}$$

Hence, the required quotient is $34$ and the remainder is $5$

Step 2 : Verification:

$$\begin{gathered} \text{Dividend}=\left(\text{Divisor}\times \text{Quotient}\right)+\text{Remainder} \\ \Rightarrow 345=\left(10\times 34\right)+5 \\ \Rightarrow 345=340+5 \\ \Rightarrow 345=345 \end{gathered}$$

Hence, it is verified.