"to tell," mid-15c., also recompt, from Old North French and Anglo-French reconter (12c., Modern French raconter), from Old French re- "again" (see re-) + conter "to relate, reckon" (see count (v.)). Related: Recounted; recounting.
also re-count, "a new count" (especially in an election), 1855, American English, from re- + count (n.2).
also re-count, "to enumerate again," 1764, from re- + count (v.). Related: Recounted; recounting.
We had to recount all the votes after an accusation of fraud was made