DeRozan also distributed six assists and Terrence Ross netted five 3-pointers en route to 19 points for the Raptors, who posted their best mark since Feb. 29, 2008, with a third straight win.
Kyle Lowry supplied 13 points and nine assists.
The Cavaliers were led by Kyrie Irving with 25 points and nine assists.
Newly acquired Spencer Hawes added 15 points and seven rebounds as Cleveland fell for a third straight time.
Millions of Getty images now available for free via embed tool
Aaron Carter is still in love with Hilary Duff