Question

What is the quotient($q$) and the remainder($r$) when 15 is divided by 5?

• A. $q=2,r=5$
• B. $q=3,r=0$
• C. $q=4,r=-5$
• D. $q=3,r=5$

Answer 1

The correct option is B $q=3,r=0$

Euclid’s division lemma states that for integers $a$ and $b$ where $a>b,$ there exist unique integers $q$ and $r$ such that $a=bq+r,$ where $0\le r<|b|.$
Since $15=5\times 3,$ we have quotient $q=3,$ and remainder $r=0.$