One source has this:
"deal
from O.E. dæl "part, share, quantity," and its verbal derivative dælan "to divide," from P.Gmc. *dailaz ; also found in Balto-Slavic (cf. O.C.S. delu "part," Lith. dalis ). Meaning "to distribute cards before a game" is from 1520s; business sense is 1837, originally slang. Meaning "an amount" is from 1560s. New Deal is from F.D. Roosevelt speech of July 1932. Big deal is 1928; ironic use first recorded 1951 in "Catcher in the Rye." To deal with "handle" is attested from mid-15c. Deal breaker is attested by 1975. " (Source: Online Etymology Dictionary)