Sauce Preparation: In a saucepan on low heat, melt the butter. Gradually whisk in the flour, ensuring no lumps form. Slowly pour in the warm milk, constantly stirring to achieve a smooth mixture.

Cooking: Increase heat to medium-high. Stir continuously until the mixture begins to thicken. Add the dried beef and cayenne pepper, stirring well.

Serving: Once the beef is heated through and the sauce reaches your desired consistency, remove from heat. Pour over slices of toast or bread, and enjoy!