administrative district vs administrative division

administrative district and administrative division both are nouns.

Word	Noun	Adjective	Verb	Adverb
administrative district	Yes	No	No	No
administrative division	Yes	No	No	No

As nouns, administrative district and administrative division are synonyms defined as:

administrative district and administrative division: a district defined for administrative purposes

Other synonyms of administrative district include territorial division.

administrative district (noun)	administrative division (noun)
a district defined for administrative purposes	a district defined for administrative purposes