The term "quotient" is most commonly used to refer to the ratio 
of two quantities 
and 
,
where 
.
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
 |
where 
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 (1987).
| notation | name | S&O | Graham et al. | Wolfram Language |
![[x]](/images/equations/Quotient/Inline6.svg) | ceiling function | -- | ceiling, least integer | Ceiling[x] |
 | congruence | -- | -- | Mod[m, n] |
 | floor function |  | floor, greatest integer, integer part | Floor[x] |
 | fractional value |  | fractional part or  | SawtoothWave[x] |
 | fractional part |  | no name | FractionalPart[x] |
 | integer part |  | no name | IntegerPart[x] |
 | nearest integer function | -- | -- | Round[x] |
 | quotient | -- | -- | Quotient[m, n] |
