I just thought of another point. I would also guess by looking at what you type of SG's you are using, you don't have the correct choke. Skeet requires almost no choke so the shot pattern can open up quickly.
I would guess that the Rem 11 has a full or mod choke and the Browning double has a mod choke in one barrel and a full in the other. These choke constrictions are too tight for shooting skeet. It can be done but you have to be very precise. I would reccomend making sure you have the proper choke before you go out and shoot any more shells.