If A/B = 237.4, and if B = 15, what is the remainder when A is divided by B?
When A is divided by B, call the quotient Q and the remainder R.
Then A = Q(B) + R
Divide both sides of this equation by B:
A/B = Q + R/B
Q, the integer part, must equal 237. The fraction R/B equals the decimal part, 0.4.
R/15 = 0.4
R = 15(0.4) = 6