I will close this "error report thread" here, since I got a perfect answer 
at 
https://ask.sagemath.org/question/40935/bug-report-kernel-dies-after-1-hour-while-dividing-polynomials/

The workaround is not to create the quotient ring.
It is better to work in polynomial rings and to use the "lift" command 
directly in Sage.

Thank you.

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