Peel boiled eggs and slice in half. Separate the egg whites and yolks.
Chop the egg whites to your desired size. Set aside.
Using the back of a spoon, push egg yolks through a fine mesh strainer to create the fine yolk crumbles.
Bake biscuits according to package directions or prepare toast.
Melt the butter in a saucepan over medium-low heat. Whisk in the flour and cook for about one minute, stirring constantly. Gradually pour in the milk, whisking continuously to prevent lumps.
Continue to cook while whisking frequently until sauce is smooth and bubbly. (about 4-5 minutes)
Cook until the sauce becomes smooth and thick enough to coat the back of a spoon.
Remove from heat and fold in the chopped egg whites. Salt and pepper to taste.
Serve egg white gravy over biscuits or toast. Top generously with crumbled egg yolks.