Belgium go into the European Championship quarter-finals for the first time since losing the 1980 final. They were dominant throughout at Stadium de Toulouse after Toby Alderweireld headed them into a 10th minute lead.
The Red Devils wasted a series of great chances to put the game to bed before Michy Batshuayi with his first touch as a substitute, Hazard and Yannick Carrasco scored in the last 12 minutes.
Belgium now meet Wales in Lille looking for a place in the semi-finals, but on the back of this promising performance coach Marc Wilmots will be looking for improvements in front of goal.