Question

If a whole number a is divided by a non-zero whole number b such that the quotient is q, then
the remainder is .............

Answer 1

Let a be dividend and b is the divisor. If q is the quotient and r is the remainder, then by division algorithm
a = bq + r, where r = 0 or r < b.
Now
a = bq + r $\text{⇒}$ r = a − bq
Hence, r = a − bq.