Question

Should the remainder always be smaller than the divisor?

• A. yes
• B. no

Answer 1

The correct option is A yes

Yes, The remainder should always be smaller than the divisor.

Let's understand the above statement with an example
Divide 47 by 5 using long division method
The divisor (5) is greater than the remainder (2).

Let's verify it using the formula.
Dividend = Divisor x Quotient + Remainder
$47=5\times 9+2=47$
LHS is equal to RHS.
Hence, divison is correct.

$\therefore$ The remainder is always less than the divisor. if it becomes greater than the divisor then the divison would be incorrect.