Hi Robert!

sage: R.<t> = QQ[]
sage: p = R.random_element()
sage: q = R.random_element()
sage: p
-t^2 - 1/2*t + 1/2
sage: q
-t - 4/3
sage: p.quo_rem(q)
(t - 5/6, -11/18)


Best regards,
Simon

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