Quotient

A quotient is the result of division. In a ÷ b = q, the quotient q answers how many b's fit in a, or, when a whole is shared into b equal groups, how big each group is.

For whole numbers the quotient comes with a remainder, but for fractions and other rational numbers it can be any value, including one larger than the number being divided. That is why 3 ÷ 1/2 = 6: six halves fit in three wholes. The fraction strip shows the "how many fit" meaning.