Question

39 = ( 12 $\times$ Q ) + R
Find the value of Q and R.

Answer 1

Euclid's division lemma:

Let a and b are two positive integers, then there exist unique integers q and r such that
a = bq + r, where 0 $\le$ r < b.
Now put the value in such a way that it satisfies the given equation below.
$\therefore$ 39 = 12 $\times$ 3 + 3
$\Rightarrow$ Quotient, q = 3 and remainder, r = 3