1
the quotient of [number] and [number]
表示除法结果时，常用“the quotient of A and B”来引出被除数和除数。
The quotient of 12 and 3 is 4.
12除以3的商是4。
商；商数
quotients — plural of quotient
先理解核心含义，再看它在真实句子里的用法。
商；商数
The result of dividing one quantity by another, or of an analogous inverse operation.
The quotient of 12 and 3 is 4.
12除以3的商是4。
一个数除以另一个数所得的结果(可为分数或整数)。
The number (either a fraction or an integer) resulting from the division of one number by another.
类比而言,对于数字之外的任何数学实体,乘法逆运算所得的结果。
By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
击球时每失去一个三柱门所得分数除以投球时每取得一个三柱门所失分数——在某些顶级赛事中用作联赛积分榜的平分决胜指标。
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.
通过将较大数学结构中的元素等同起来而形成的数学结构。
A mathematical structure formed by identifying elements within a larger one.
After dividing 36 by 6, the quotient is 6, and there is no remainder.
36除以6后，商是6，没有余数。
I checked my answer by multiplying the quotient by the divisor.
我通过把商乘以除数来检查答案。
In the math test, students had to find the quotient of two large numbers without a calculator.
在数学测验中，学生必须不用计算器求出两个大数的商。
表示除法结果时，常用“the quotient of A and B”来引出被除数和除数。
The quotient of 12 and 3 is 4.
12除以3的商是4。
在代数中，“the quotient of X by Y”表示把X中的元素按Y等同后得到的结构。
The quotient of a group by a normal subgroup is a group.
群对正规子群的商是一个群。
Not this
Please quotient 10 by 2.
Use this
Please divide 10 by 2.
quotient 是名词，意为“商”，指除法运算的结果；表示“除以”这个动作应用动词 divide。中文“求商”容易直译成 quotient，但英语中没有动词用法。
Not this
The quotient of 10 to 2 is 5.
Use this
The quotient of 10 and 2 is 5.
表示“10除以2的商”，英语固定搭配是 the quotient of A and B 或 the quotient of A divided by B，不用介词 to；to 通常用于比例，如 the ratio of 10 to 2。
Focus on the distinctions below. Other candidates are kept compact until a reliable usage note is available.
智商
Her intelligence quotient is higher than the average for her age.
她的智商高于同龄人的平均水平。
情商
Managers with a high emotional quotient handle team conflicts better.
情商高的管理者能更好地处理团队冲突。
差商
The difference quotient approximates the slope of the curve.
差商近似表示曲线的斜率。
商的求导法则
Apply the quotient rule to find the derivative of this fraction.
用商的求导法则求这个分式的导数。
呼吸商
During exercise the respiratory quotient rises as carbohydrates become the main fuel.
运动时，随着碳水化合物成为主要燃料，呼吸商升高。
商群
The quotient group of integers modulo n is cyclic.
整数模 n 的商群是循环群。
智商；智力商数
Her intelligence quotient is above the average for her age group.
她的智商高于她这个年龄段的平均水平。
情商；情绪商数
People with a high emotional quotient usually manage stress better.
高情商的人通常能更好地应对压力。
逆境商数；挫商
Adversity quotient measures one's ability to cope with challenges.
逆境商数衡量一个人应对挑战的能力。
Use quotients naturally, then get feedback on meaning, tone, grammar, and phrasing.
Revisit a common error or keep this word in your review list.
记法：商是除法算出的一份数量，quotient 开头的 quo 联想到 quantity（数量），口诀‘每份数量就是商’。
语域：formal 常见场景：数学课堂、数学教材、学术论文 作“商”或“商数”讲时通常用于数学教材、课堂和学术写作，属于正式、书面的表达；日常口语中较少单说 quotient，多直接用 number 或 result 来说明除法的结果。
No common English word rhymes exactly with “quotient” /ˈkwəuʃənt/. Motion and lotion share its /əʊ/ or /oʊ/ vowel and /ʃ/ sound but lack the final /t/, so they are near matches, not true rhymes. Patient, ancient, and sufficient look similar because they end in -cient/-tient and are pronounced /ʃənt/, but their stressed vowels differ, so they do not rhyme with quotient.
Dictionary facts from ECDICT, WIKTIONARY.