No! I'm doing a maths degree at the moment, and this year's module on Group Theory had loads of calculating remainders for modular (or clock) arithmetic.
A school example of modular arithmetic would be that in the 12 hr clock, 10 o'clock plus 4 hours isn't 14 o'clock, it's 2 o'clock (i.e. the remainder of 14/12). In this case, fractions, decimals and remainders aren't equivalent!