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Algebra.
it is the something
In mathematics, a quotient is the result of division. When you divide one number by another, the result is called the quotient. For example, in the division problem 10 ÷ 2 = 5, the quotient is 5. In contrast, multiplication involves finding the product of two or more numbers.
algebra involves equations with numbers a variables and your goal is to solve for the variable
Well, arithmetic only involves quantities while algebra involves both quantities and unknown variables.