In
mathematics, a quotient is the end result of a
division problem. For example, in the problem 6 ÷ 3, the quotient would be 2, while 6 would be called the
dividend, and 3 the
divisor. The quotient can also be expressed as the number of times the divisor divides into the dividend.A quotient can also mean just the
integer part of the result of dividing two
integers. For example, the quotient of 13 ÷ 5 would be 2 while the
remainder would be 3. For more, see the
division algorithm.In more abstract branches of mathematics, the word quotient is often used to describe
sets, spaces, or
algebraic structures whose elements are the
equivalence classes of some
equivalence relation on another set, space, or algebraic structure. See:
quotient setquotient groupquotient ringquotient space (linear algebra)quotient space of a
topological spacequotient objectright quotient and
left quotient (operations on
formal languages)
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