Division

Proce , a product and one factor being given, of finding the other factor. The given product is the dividend; the given factor the divisor; the required factor the quotient. Division is exact when the quotient is wholly integral and there is no undivided remainder. In algebra, numerical coefficients are divided as in arithmetic; literal quantities are divided by subtracting the exponent of any quantity in the divisor from the exponent of the same quantity in the dividend. A negative exponent indicates that the quantity affected is a divisor. Like signs of divisor and dividend give a positive quotient, unlike signs a negative quotient. In elementary algebra, division is commutative; i.e., divisor may be made quotient by placing the quotient as divisor. In higher algebra, division becomes non-commutative. Brigadi