Question

Using division algorithm find the quotient and remainder of the following pairs.
(i) $19,5$
(ii) $3,13$
(iii) $30,6$.

Answer 1

(i) $19,5$
We write the given pair in the form $a=bq+r,0\le r<b$ as follows.
$19=5\left(3\right)+4$ [$5$ divides $19$ three time and leaves the remainder $4$]
$\therefore$ quotient $=3$; remainder $=4$
(ii) $3,13$
We write the given pair in the form $a=bq+r,0\le r<b$ as follows.
$3=13\left(0\right)+3$
$\therefore$ quotient $=0$; remainder$=3$
(iii) $30,6$
We write the given pair $30,6$ in the form $a=bq+r,0\le r<b$ as follows.
$30=6\left(5\right)+0$ [$6$ divides $30$ five times and leaves the remainder $0$]
$\therefore$ quotient $=5$; remainder $=0$.