Thaw fish, if frozen. Rinse fish; pat dry with paper towels. Cut into four serving-size pieces, if necessary. Measure thickness of fish; set aside. Place milk in a shallow dish. Place flour in another shallow dish. In a third shallow dish combine bread crumbs, cheese, dillweed, and pepper. Add melted butter; stir until combined.
Dip fish in milk; coat with flour. Dip again in milk, then in crumb mixture to coat all sides. Place fish on a greased baking sheet. Bake, uncovered, in a 450 degree F oven for 4 to 6 minutes per 1/2-inch thickness or until fish begins to flake when tested with a fork.