Quotient vs. Remainder — What's the Difference?

In arithmetic, a quotient (from Latin: quotiens "how many times", pronounced ) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of proper division).

In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division).

The number obtained by dividing one quantity by another. In 45 ÷ 3 = 15, 15 is the quotient.

A part of something that is left over when other parts have been completed, used, or dealt with

(arithmetic) The number resulting from the division of one number by another.

A property interest that becomes effective in possession only when a prior interest (created at the same time) ends.

(arithmetic) The integer part of the result of such division.

Dispose of (a book left unsold) at a reduced price

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

Something left over after other parts have been taken away.

A quotum or quota.

The number left over when one integer is divided by another

The number resulting from the division of one number by another, and showing how often a less number is contained in a greater; thus, the quotient of twelve divided by four is three.

The number obtained when one number is subtracted from another; the difference.

The result of any process inverse to multiplication. See the Note under Multiplication.

(Law) An estate in property that takes effect after the expiration of another estate, as where one party is given the right to occupy a property for that party's lifetime, and then another party is given the same right after the first party's death.

The ratio of two quantities to be divided

A book that remains with a publisher after sales have fallen off, usually sold at a reduced price.

The number obtained by division

To sell or dispose of as a remainder.

A part or parts remaining after some has/have been removed.

(mathematics) The amount left over after subtracting the divisor as many times as possible from the dividend without producing a negative result. If n (dividend) and d (divisor) are integers, then n can always be expressed in the form n = dq + r, where q (quotient) and r (remainder) are also integers and 0 ≤ r < d.

(mathematics) The number left over after a simple subtraction

(commerce) Excess stock items left unsold and subject to reduction in price.

(legal) An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined

Remaining.

To mark or declare items left unsold as subject to reduction in price.

Anything that remains, or is left, after the separation and removal of a part; residue; remnant.

The quantity or sum that is left after subtraction, or after any deduction.

An estate in expectancy, generally in land, which becomes an estate in possession upon the determination of a particular prior estate, created at the same time, and by the same instrument; for example, if land be conveyed to A for life, and on his death to B, A's life interest is a particuar estate, and B's interest is a remainder, or estate in remainder.

Remaining; left; left over; refuse.

Something left after other parts have been taken away;

The part of the dividend that is left over when the dividend is not evenly divisible by the divisor

The number that remains after subtraction; the number that when added to the subtrahend gives the minuend

A piece of cloth that is left over after the rest has been used or sold

Sell cheaply as remainders;