I am looking for examples of how polynomial division is presented to secondary students outside of the US. Wikipedia has a nice presentation of this for integer division here. Do you know of anything similar for polynomial division?
Here is a Russian 7th grade algebra textbook (publisher's website). Attached is a complete section dedicated to polynomial division, it is marked as optional.
In Greece the students are taught polynomial division in the second class of upper high school (grade 11 at US educational system). It is the same algorithm as in Italy and Russia. Whole book in pdf form is available here.