A quotient is the result of dividing one number by another.

The term "quotient" is most commonly used to refer to the ratio q = r/s of two quantities r and s, where s!=0. Less commonly, the term quotient is also used to mean the integer part of such a ratio. In the Wolfram Language, the command Quotient[r, s] is defined in this latter sense, returning r\s = ⌊r/s⌋, where ⌊x⌋ is the floor function. This is sometimes called integer division. Since usage concerning fractional part/value and integer part/value can be confusing, the following table gives a summary of names and notations used. Here, S&O indicates Spanier and Oldham.

ceiling function | division | floor function | fraction | integer division | integer part | nearest integer function | polynomial quotient | quotient group | quotient ring | quotient space | ratio | rational number | remainder

elementary school level (California grade 2 standard)