Alienating (8)

(Other definitions for divisive that I've seen before include "Causing dissension" , "Tending to create dissension" , "Tending to cause conflict" , "Troublesome" , "Tending to cause disagreement within a group - in arithmetic way?" .)
'alienating' is the definition.
('estrange' can be a synonym of 'alienate')
This is all the clue.