On Tuesday, 14 January 2014 17:21:41 UTC+1, rjf wrote:
>
> Division with remainder is available in Maxima as the command divide.  
> e.g.  divide(a, x-4,x)  returns the pair, x-1 and 2  for
> quotient and remainder.
> LCM is available in Maxima as lcm.  It probably has the semantics you 
> expect.
>
> If you want a tableau displaying the steps in polynomial long division, 
> or  synthetic division (?) then
> Divide() won't satisfy your request.
>  
>

This wasn't what was being asked,  but the syntax for doing this in sage is:
sage: a.quo_rem(x-4)
(x - 1, 2) 
A.

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