Chicago boosted the NHL's largest point total to 66 and ended the Devils' brief winning streak at two games.
Chicago produced three goals in the first 5:34 of the third, those coming from Patrick Kane, Sharp and Hossa.
That gave the Blackhawks what appeared to be plenty of cushion, but Marek Zidlicky tallied twice for the Devils, the second of the goals coming on the power play with 6:23 remaining in regulation.
Antti Raanta avoided further damage, however, and made 24 saves to pick up the win. Martin Brodeur let in five of the 24 shots he faced.
The loss for Brodeur leaves him 11 short of 400 for his career. He has 681 victories.