Division by increasing power order : divpc

divpc takes three arguments : two polynomials expressions A, B depending on x, such that the constant term of B is not 0, and an integer n.
divpc returns the quotient Q of the division of A by B by increasing power order, with degree(Q) $\leq$ n or Q = 0. In other words, Q is the Taylor expansion at order n of $${\frac{{A}}{{B}}}$$ in the vicinity of x = 0.
Input :

divpc(1+x^2+x^3,1+x^2,5)

Output :

-x^5+x^3+1

Note that this command does not work on polynomials written as list of coefficients.