Question

What is the quotient and remainder for $52\div 8$ ?

Answer 1

Hint: In the given question, we are supposed to find the quotient and remainder for $52\div 8$ . Firstly, we divide the numbers 52 and 8 to get the quotient of the division. Then, we look for the number left after the division method also called the remainder of the division.

Complete step-by-step answer:
We are supposed to find the quotient and remainder for $52\div 8$ . We will be solving the given question by dividing the given numbers.
The dividend is the number that is to be divided.
The divisor is the number that divides the dividend.
The result of the division between the dividend and divisor gives us the quotient.
$\Rightarrow \text{Quotient}=\dfrac{\text{Dividend}}{\text{Divisor}}$
The number that is left out after division is called the remainder of the division.
If the remainder of the division is zero, the quotient and the divisor are the factors of the dividend.
To get the quotient of the division, we need to divide the dividend by the divisor.
In the given question,
Dividend $=\;$ 52;
Divisor $=\;$ 8
Dividing the dividend and the divisor, we get,
$\Rightarrow \dfrac{52}{8}$
We know that the number 52 is not the factor of 8. So, we need to find the nearest factor of 8 to 52.
The nearest factor of 8 to 52 is given as follows,
$\Rightarrow 8\times 6=48$
Substituting the same, we get,
$\Rightarrow \dfrac{\left( 8\times 6 \right)}{8}$
$\therefore \dfrac{52}{8}=6$
The remainder is the number that is left out after division.
The remainder can be found out by simply finding out the difference between the dividend and the nearest factor of 8 to 52.
The remainder of the division is given as follows,
$\Rightarrow \text{Dividend}-48$
Substituting the value of the dividend, we get,
$\Rightarrow 52-48$
$\Rightarrow 4$
$\therefore$ The quotient and the remainder for $52\div 8$ are 6 and 4 respectively.

Note: The quotient and the remainder obtained in the given question can be cross-checked as follows,
$\Rightarrow$ Dividend $=\;$ Quotient $\times$ Divisor $+\;$ Remainder
Here,
Dividend $=\;$ 52;
Divisor $=\;$ 8;
Quotient $=\;$ 6;
Remainder $=\;$ 4
Substituting the values,
LHS:
$\Rightarrow 52$
RHS:
$\Rightarrow$ Quotient $\times$ Divisor $+\;$ Remainder
$\Rightarrow \left( 6\times 8 \right)+4$
$\Rightarrow 48+4$
$\Rightarrow 52$
LHS $=\;$ RHS
The result attained is correct.