Definition of "quotient" in English

noun

1. (arithmetic) The number (either a fraction or an integer) resulting from the division of one number by another.

   • Dividing 12 by 4 yields a quotient of 3.

2. (mathematics) By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.

3. (obsolete, rare) A quotum or quota.

4. (cricket) The number of runs scored per wicket lost when batting, divided by the number of runs conceded per wicket taken when bowling — used as a league table tiebreaker in some first-class tournaments.

5. (mathematics, group theory) A mathematical structure formed by identifying elements within a larger one.

verb

1. (mathematics, group theory) To identify elements within a mathematical structure so as to create a quotient.