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From The Collaborative International Dictionary of English v.0.48:
Quotient \Quo"tient\ (kw[=o]"shent), n. [F., fr. L. quoties how often, how many times, fr. quot how many. See Quota.] [1913 Webster] 1. (Arith.) 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. [1913 Webster] 2. (Higher Alg.) The result of any process inverse to multiplication. See the Note under Multiplication. [1913 Webster]