The LeftDivision(A, B, x) command computes a left quotient Q and a remainder R such that  where  is strictly proper.  That is,   is a zero matrix. The input matrices must have the same number of rows, and B must be a square nonsingular matrix of polynomials.

The RightDivision(A, B, x) command computes a right quotient Q and a remainder R such that  where  is strictly proper.  That is,   is a zero matrix. The input matrices must have the same number of columns, and B must be a square nonsingular matrix of polynomials.

The quotient  and the remainder  are returned in a list.