Start preheating a large nonstick skillet (ideally with a lid) over medium-low heat.Arrange bread on work surface. Spread or brush butter in a thin layer over tops of all pieces of bread. Flip 2 of the pieces so unbuttered side is up. Spread half of shredded cheese in an even layer on unbuttered bread. Arrange pickles on top of cheese, and then remaining cheese on top of pickles. Place other 2 slices of bread, buttered side up, on top.Transfer sandwiches to warm skillet. It should be warm to the touch but not screaming hot at this point.Cook slowly for 10 to 15 minutes or until cheese starts to melt and bottom is deep golden brown. If your bread starts to brown too quickly, reduce the heat and cover the skillet so the cheese has a chance to fully melt.Flip sandwiches and cook for an additional 3 to 5 minutes, covered as needed, until bottoms are golden brown and cheese is fully melted.Transfer to plates, cut in half, and enjoy immediately.