
James S. answered 01/17/13
Tutor with a Life Time of Experience
A division algorithm is often discussed in introductions to abstract
algebra or number theory. The intent is to explain ordinary division
of integers in a more theoretical light that allows certain
generalizations to things such as polynomials and other subsets
ot the real or complex numbers.
Given positive integers n and m, the division of n by m, n/m,
is to find whole numbers q and r so that
n = m * q + r, or n/m = q + r/m
with 0 <= r < m.
The integer q is called the quotient and r is called the remainder.
In this case little is required, since
2 = 86 * 0 + 2
so that the quotient is 0 and the remainder is 2.

James S.
2/86 is also 1/43 when reduced to lowest terms.
01/17/13