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For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or 20 / 5 = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.
For instance, a deck of 52 playing cards could be divided among 4 players by dealing the cards to into 4 piles one at a time, eventually yielding piles of 13 cards each. If there is a remainder in solving a partition problem, the parts will end up with unequal sizes.
For example, density (mass divided by volume, in units of kg/m 3) is said to be a "quotient", whereas mass fraction (mass divided by mass, in kg/kg or in percent) is a "ratio". [8] Specific quantities are intensive quantities resulting from the quotient of a physical quantity by mass, volume, or other measures of the system "size". [3]
1. Denotes division and is read as divided by or over. Often replaced by a horizontal bar. For example, 3 / 2 or . 2. Denotes a quotient structure. For example, quotient set, quotient group, quotient category, etc. 3.
For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric operands.
1 2 5 (Explanations) 4)500 1 0 ( 5 - 4 = 1) 2 0 (10 - 8 = 2) 0 (20 - 20 = 0) In Bolivia , Brazil , Paraguay , Venezuela , French-speaking Canada , Colombia , and Peru , the European notation (see below) is used, except that the quotient is not separated by a vertical line, as shown below:
One continues repeating step 2 until there are no digits remaining in the dividend. In this example, we see that 30 divided by 4 is 7 with a remainder of 2. The number written above the bar (237) is the quotient, and the last small digit (2) is the remainder.
In an equation =, a is the dividend, b the divisor, and c the quotient. Division by zero is considered impossible at an elementary arithmetic level. Two numbers can be divided on paper using long division. An abbreviated version of long division, short division, can be used for smaller divisors.