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For other uses, see Quotient (disambiguation).
Calculation results
Addition (+)
\scriptstyle\left.\begin{matrix}\scriptstyle\text{summand}+\text{summand}\\\scriptstyle\text{augend}+\text{addend}\end{matrix}\right\}= \scriptstyle\text{sum}
Subtraction (−)
\scriptstyle\text{minuend}-\text{subtrahend}= \scriptstyle\text{difference}
Multiplication (×)
\scriptstyle\left.\begin{matrix}\scriptstyle\text{multiplicand}\times\text{multiplicand}\\\scriptstyle\text{multiplicand}\times\text{multiplier}\end{matrix}\right\}= \scriptstyle\text{product}
Division (÷)
\scriptstyle\left.\begin{matrix}\scriptstyle\frac{\scriptstyle\text{dividend}}{\scriptstyle\text{divisor}}\\\scriptstyle\frac{\scriptstyle\text{numerator}}{\scriptstyle\text{denominator}}\end{matrix}\right\}= \scriptstyle\text{quotient}
Modulation (mod)
\scriptstyle\text{dividend}\bmod\text{divisor}= \scriptstyle\text{remainder}
\scriptstyle\text{base}^\text{exponent}= \scriptstyle\text{power}
nth root (√)
\scriptstyle\sqrt[\text{degree}]{\scriptstyle\text{radicand}}= \scriptstyle\text{root}
Logarithm (log)
\scriptstyle\log_\text{base}(\text{antilogarithm})= \scriptstyle\text{logarithm}

In mathematics, a quotient (from Latin: quotiens "how many times", pronounced ˈkwoʊʃənt) is the result of division.[1] For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient further is expressed as the number of times the divisor divides into the dividend, e.g., 3 divides 2 times into 6. A quotient can also refer to the integer part of the result of dividing two integers in Euclidean division. For example, the quotient of 13 divided by 5 would be 2 while the remainder would be 3.


Quotients are used in certain tests, like the IQ (intelligence quotient) or SAT tests. In recent decades, as more emphasis has been placed on full personal development, other similar quotients have appeared. These include moral quotient, emotional quotient, adversity quotient, social quotient, creativity quotient, etc.

See also[edit]