## Divide

To divide is to perform the operation of Division, i.e., to see how many times a Divisor goes into another number . divided by is written or . The result need not be an Integer, but if it is, some additional terminology is used. is read  divides '' and means that is a Proper Divisor of . In this case, is said to be Divisible by . Clearly, and . By convention, for every except 0 (Hardy and Wright 1979). The divided'' operation satisfies

is read  does not divide '' and means that is not a Proper Divisor of . means divides exactly.