Divisibility Calculator

This calculator answers whether one whole number divides another exactly. Enter a number and a divisor and it returns yes or no, the quotient, the remainder, the nearest multiples either side and how much to add or take away to land on one. A second mode runs a single number against every divisor from 2 to 13 and against 15, 20, 25 and 100, and lists which ones pass. Where there is a well known shortcut, such as the digit sum for 3 and 9 or the alternating digit sum for 11, the rule is printed alongside the figure it reads from, but the answer itself always comes from the actual remainder.