`quorem`

Quotient and remainder of the division of two symbolic polynomials or integers.

Category: Symbolic Computations in MATLAB > Operators and Elementary Operations

Syntax

[q, r] = quorem(a, b)

Divides a by b and returns quotient and remainder.

q = quorem(a, b)

Returns only the quotient.

Description

For polynomials in one variable, quorem performs long division and the remainder has a lower degree than the divisor. For integers it performs integer division with a remainder that is nonnegative for a positive divisor.

The identity a = q*b + r always holds, so expand(q*b + r - a) is zero.

Input arguments

a: Dividend: symbolic polynomial or integer.
b: Divisor, nonzero.

Output arguments

q: Quotient.
r: Remainder, so that a = q*b + r.

Example

Polynomial and integer division

syms x
[q, r] = quorem(x^3 + 2*x, x^2 + 1)
[q2, r2] = quorem(sym(-17), sym(5))

Output

q = x
r = x
q2 = -4
r2 = 3

quorem