step down vs quit

step down and quit both are verbs.

Word	Noun	Adjective	Verb	Adverb
step down	No	No	Yes	No
quit	No	No	Yes	No

As verbs, step down and quit are synonyms defined as:

Other synonyms of step down include leave office, resign.

step down (verb)	quit (verb)
reduce the level or intensity or size or scope of	give up in the face of defeat of lacking hope; admit defeat
give up or retire from a position	go away or leave
	turn away from; give up
	give up or retire from a position
	put an end to a state or an activity