As requested by Martin Owens here: http://sourceforge.net/p/inkscape/mailman/message/34734828/
Currently, either possible by multi-difference extension or by duplicating topmost object and repeating, which can be annoying...
Combining can easily be chained afterwards or before, if you want a combination.
As it's destructive, it would be nice to leave that out of the 'multi' process and let the user decide.
Possible to do the same for the remaining two-paths-only operations.
Nice post, Maren :) I think Multi-division would be extremely useful.
At the moment, the work around of combining paths is a bit of a hinderance as it removes all styles/colour from each shape/path. The workaround I posted on stackexchange illustrates how limiting dividing one path at a time is.
http://graphicdesign.stackexchange.com/questions/47180/inkscape-how-to-cut-a-group