Noun
The number resulting from the division of one number by another, and showing how often a less number is contained in a greater; thus, the quotient of twelve divided by four is three.
The result of any process inverse to multiplication. See the Note under Multiplication.
Source: Webster's dictionaryA formal quotient of polynomials, that is, an algebraic fraction wherein the numerator and denominator are polynomials, is called a " rational expression " or "rational fraction" and is not, in general, a polynomial. Source: Internet
A less used presentation of the Möbius strip is as the topological quotient of a torus. Source: Internet
A group is polycyclic if it has a finite descending sequence of subgroups, each of which is normal in the previous subgroup with a cyclic quotient, ending in the trivial group. Source: Internet
A normal subgroup of a topological group, acting on the group by translation action, is a quotient space in the senses of topology, abstract algebra, and group actions simultaneously. Source: Internet
Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup. Source: Internet
Another example of a quotient is the connected sum. Source: Internet