Hello,

I'm stalled try to calculate a division in a polynomial ring defined over a 
field that is a finite field.

sage: _.<z> = GF(2)[]
sage: K.<z> = GF(2^8, modulus=z^8+z^4+z^3+z+1)
sage: R = PolynomialRing(K,'x')
sage: l = x^4 + 1
sage: c = (z+1)*x^3+x^2+x+(z)
sage: l/c
(x^4 + 1)/((z + 1)*x^3 + x^2 + x + z)

But I like to find the quotient and the reminder of this division. How 
should I write it?

I've tried in all the ways I've thought and searched for similar questions, 
but looks like using a finite field to define the ring may need something 
specific.

Thanks

/Sergi.

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