Melt butter in a large skillet, and heat until hot enough to sizzle a drop of water. Break each egg into a small saucer. Carefully slip each egg into skillet, cooking 2 to 3 eggs at a time. Reduce heat to low, and cook until whites are firm and yolks are soft or to desired degree of doneness, basting frequently with butter in skillet. Transfer to a warm serving platter.
Repeat procedure with remaining eggs, adding butter to skillet as needed. Sprinkle eggs with salt and pepper. Serve hot.