1) one after another, successively, in order
Part of Speech: adverb
From G2596 and G1836; thereafter, that is, consecutively; as a noun (by ellipsis of noun) a subsequent person or time: - after (-ward), by (in) order.
|one after another||61.1|
|(ἐν τῷ (καθ) εξῆς) later||67.52|
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root καθεξῆς; click on the second column to search for that grammatical form of the root καθεξῆς; click on the third column to search for that word and grammatical form; click on the total to search for the root καθεξῆς.