A quotient is the quantity resulting from the division of one quantity by another (See also division and ratio ) Examples: 6 2 , 2x + 1 x , 7 3 These may be reduced to 3, 2 + 1 x , 2 1 3 (We may regard 2 as quotient, 1 as remainder )
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
Quotient is used when indicating the presence or degree of a characteristic in someone or something. Being rich doesn't actually increase your happiness quotient The island has a high quotient of clergymen. intelligence quotient: see IQ
When performing division, the number of times one value can by multiplied into the other value is the quotient For example, when dividing 7 by 3, 3 goes in to 7 twice, making 6, and the remainder is 1, so the quotient is 2 (cf What are Remainders Discussion)
When integer division is performed, the result consists of a quotient and a remainder The quotient represents the integer number of times that the divisor divides into the dividend For instance, in 5/3, 5 is the dividend and 3 is the divisor This gives a quotient of 1 and a remainder of 2