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@certik @isuruf Any suggestions for Input and Output API for this function?

I think the API is fine for now. As we start using this more, we can refine it.

There is divides_upoly at the moment which only give quotient. We can extend that API to give the remainder optionally.

There is divides_upoly at the moment which only give quotient. We can extend that API to give the remainder optionally.

Yes I saw that but I think I should create this new function rather than trying to change or edit the existing function which has its own use case.