Footnotes on 2.3
Remember that long division and remainders are discussed in Section 2.3.
For every two numbers n and m, there are numbers q (for quotient) and r (for remainder)
such that m=nq+r and 0 ≤ r ≤ n-1.
We say that a natural number A
divides a natural number B
We also say that A is a divisor of B, and
B can be divided by A, or B is a
multiple of A.
For example, 2 divides 4 but 2 does not divide 5.
- if B/A is natural, or equivalently
- if B can be divided by B with no remainder, or equivalently
- if there is a natural number C such that C·A=B.