Division is a basic math operation which is the inverse function to multiplication. Dividing two integers is the process of finding out how many times the second number goes into the first. The first number to be divided is the dividend the second number that divides it is the divisor. It takes the quantity of one number into the quantity of another in the form of a ratio. If the dividend is greater than the divisor the answer will be greater than one, if the dividend is less than the divisor the answer is less than one. Division of any number by zero is restricted because the answer is infinity or undefined. Division can be used as part of equations in mathematic functions. This operation is designated in equations by the division sign or shown as a ratio of two numbers with a forward slash in-between. The operation of division works within the boundaries of the set of all real numbers, as well as the set of imaginary numbers. The division of a negative number by a positive number yields a negative result, but two negatives make a positive. The division of two positive integers could be represented by objects in two groups with the first group larger than the second group. The second group is compared to the larger first group by matching objects to see how many times its group of objects can be matched to objects in the first group. Division of positive integers on a number line can be shown graphically by comparing the lengths of divisor line with the length of the dividend line to see how many divisor lines fit into the dividend line. A mathematical definition of the division process follows. If q equals the division of n divided by m, then q times m is equal to n. In other words, how many times does a dividend number (n) contains a divisor number (m). Dividing common fractions is accomplished by inverting the denominator, then multiplying it times the numerator. Division is not commutative since the numbers are not interchangeable.

Division operations:
12 / 3 = 4,
5 / 19 = 5/19,
24 / (-8) = -3,
(-2) / (-8) = 1/4.

Division of fractions:
2/3 / 3/4 = 2/3 x 4/3 = 8/9,
5/8 / 1/4 = 5/8 x 4 = 2 1/2.