cut up vs divide

cut up is not a noun while divide is a noun.

Word	Noun	Adjective	Verb	Adverb
cut up	No	Yes	Yes	No
divide	Yes	No	Yes	No

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

Other hypernyms of cut up include disunite, part, separate.

cut up (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)

cut up (adjective)	divide (adjective)
cut into pieces

cut up (verb)	divide (verb)
significantly cut up a manuscript	perform a division
separate into isolated compartments or categories	move or break apart
damage or injure severely	force, take, or pull apart
cut to pieces	make a division or separation
	separate into parts or portions
	act as a barrier between; stand between