If the polynomial is multivariate, you need to specify the 
quotient/remainder "main variable".
I don't see it in the syntax you give below.
consider   x+y divided by x-y. can give  1 with remainder 2y.
It can also give -1 with remainder 2x.
RJF

PS,  I think it is unfortunate if a user of Sage must know what is meant by 
a polynomial ring in order to
do something from high school algebra.  Just saying.



On Tuesday, January 14, 2014 10:13:47 AM UTC-8, John H Palmieri wrote:
>
> ....
>
 

> Or for consistency with division by integers:
>
>     sage:  a // (x-4)  # quotient 
>     x-1
>     sage: a % (x-4)  # remainder
>     2
>
> -- 
> John
>
>

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