Given: Dividend = 1365, Quotient = 31 and Remainder = 32
Let us consider, Divisor as a number y.
To Find: The value of y
As per Euclid’* lemma, we have
Dividend = (divisor \times quotient) + remainder
After substituting the values, we get
1365 = (y × 31) + 32
1365 – 32 = 31y
1333 = 31y
or y = 1333/31 = 43
So, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.
