Best to check flight aware, you can actually see the route visually, while enroute or you can see the actually flight plan after the aircraft has arrived. Sometimes, due to limitations on the tracking capabilities only part of the flown route is showed.
Qatar Airways (QR) #777 ? 06-Jul-2014 ? OTBD / DOH - KMIA ? FlightAware
If you take a look at some of the older flights, you may see the different routes taken and a partial flight plan.