Take two medium to big flat screwdrivers, and use to pry with between the drum and the backing shield, place them on opposite sides and wiggle back and forth, and perhaps tap the drum with a hammer a little around the edge while prying,
Tapping first after you have backed off the shoes, this will aid in allowing springs to work, and pull the shoes in. Then take the two screw drivers like Jan Ove says and begin putting pressure to pull the drum off. Tapping while using the screw drivers is smart too.
Do the FRONT drums come off the hub or do you need to remove the drum as an assembly from the spindle? I was able to get the drum and off by removing the cotter pin and slipping it off the spindle. Seems that this is the way i had to do it when i replaced the brakes a few years ago.
On fronts, remove drum/hub as an assembly. On the rears, if the drum is stuck to the axle (as often happens), a big hammer is the trick to free it from the axle, along with some penetrating oil for good measure.
Ahh so it was the front drums you where trying to get off, i assumed it was the rear drums, well front is different than the rear as you have found out now.
We should have asked in the beginning what end you where working at, and you could have said witch end when you asked