## divisionThe inverse operation of multiplication defined so that if a × b = c,
where b is nonzero, thena = c/b
In this equation, a is the quotient, b
is the divisor, and c is the dividend.
If dividend and divisor have like positive or negative sign, then the quotient
is positive; if their signs are different, the quotient is negative, Division involving two powers of a number or variable is performed by subtracting the exponent of the divisor from that of the dividend: x^{4} - x^{2} = x^{4-2}
= x^{2};
the division of the coefficients being carried out in the same way: ax^{7}/bx^{9} = (a/b)x^{-2}.
In the division of integers, where an integral quotient is required, it may well be that the division does not divide exactly into the dividend: thus 7/3 = 2 remainder 1 (or, in real numbers, 2 1/3). A skeletal division is a long division in which most or all of the digits are replaced by a symbol (usually asterisks) to form a cryptarithm. See also obelus. ## Division of a polynomial by a binomialThis can be performed by factoring if the binomial is a factor of the polynomial. If not, a more complex procedure is used. To divide a polynomial by a monomial, divide each term separately by the monomial. Thusax^{4}y^{2}
+ bxy^{3} - cx divided by - dxy is
- ( ## Related categories• ALGEBRA• ARITHMETIC | |||||

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