Question

Dividing $27$ by $4$, we get .

• A. $5\text{R}3$
• B. $6\text{R}1$
• C. $6\text{R}3$

Answer 1

The correct option is C $6\text{R}3$

To calculate $27÷4$, we use the notion of division as repeated substraction as elaborated below.

$\text{Iteration}$	$\text{Dividend}$	$\text{Divisor}$	$\text{Remainder}$
$1$	$27$	$4$	$27-4=23$
$2$	$23$	$4$	$23-4=19$
$3$	$19$	$4$	$19-4=15$
$4$	$15$	$4$	$15-4=11$
$5$	$11$	$4$	$11-4=7$
$\underset{–}{6}$	$7$	$4$	$7-4=\underset{–}{3}$

Hence, after dividing the dividend $27$ by the divisor $4$, we get the quotient $6$ and remainder $3$.

$\therefore 27÷4=6\text{R}3$, where $\text{R}$ denotes the remainder

$\underset{–}{\text{Note:}}$
$27=6\times 4+3$
$\Rightarrow \text{Dividend=Divisor}\times \text{Quotient + Remainder}$