break off vs divide

break off is not a noun while divide is a noun.

Word	Noun	Adjective	Verb	Adverb
break off	No	No	Yes	No
divide	Yes	No	Yes	No

As verbs, divide is a hypernym of break off; that is, divide is a word with a broader meaning than break off:

Other hypernyms of break off include part, separate.

break off (noun)	divide (noun)
	a ridge of land that separates two adjacent river systems
	a serious disagreement between two groups of people (typically producing tension or hostility)

break off (verb)	divide (verb)
prevent completion	perform a division
interrupt before its natural or planned end	move or break apart
break a small piece off from	force, take, or pull apart
break off (a piece from a whole)	make a division or separation
break a piece from a whole	separate into parts or portions
	act as a barrier between; stand between