You can throw away the eggshell and yolk. You won’t need it. Repeat this process with the remaining 2 eggs. Collect the egg white in the same bowl.
Discard the yolk and shell, and repeat with the other 2 eggs.
Discard the yolk, rinse the bottle, and repeat with the next 2 eggs. For more details about these methods and more, see Separate an Egg. Since separating eggs has been essential to cooking and baking for a long time, there are countless methods. If you aren’t comfortable with the more common methods for doing this, look around to find one that meets your needs.
To see similar treatments, see this guide about using baking soda to treat acne.