Question

Find the missing term in the following using the division algorithm.

$3333=(22\times 151)+\_\_\_\_\_\_$

Answer 1

Using Division algorithm

Dividend = Divisor × quotient + remainder

Let the remainder be $\mathrm{x}$

Then, $3333=(22\times 151)+\mathrm{x}$

or, $3333=3322+\mathrm{x}$

or, $\mathrm{x}=3333-3322$

$\mathrm{x}=11$

Therefore $\mathrm{x}=11$