Concept

# Quotient

Summary
In arithmetic, a quotient (from quotiens 'how many times', pronounced ˈkwoʊʃənt) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics. It has two definitions: either the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of a general division). For example, when dividing 20 (the dividend) by 3 (the divisor), the quotient is 6 (with a remainder of 2) in the first sense, and 6\tfrac{2}{3}=6.66... (a repeating decimal) in the second sense. Ratios can be defined as dimensionless quotients; non-dimensionless quotients are also known as rates. Notation Division (mathematics)#Notation The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole. \dfrac{1}{2} \quad \begin{alig
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