Division by increasing power order : divpc

### 5.34.1 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)≤ n or Q=0. In other words, Q is the Taylor expansion of order n of 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 a list of coefficients.