Summarize this article:

Use a pair of needle-nose pliers to unwind the loops and straighten out the wire as much as possible. Create a small hook about 1⁄4 inch (0.64 cm) long at the end of the wire to make it easier to catch hair. A wire snake will be able to reach clogs that are deeper than those you can reach with your hands.   If you don't have a wire hanger, you can also purchase a plastic drain snake with a hook at the end designed to pull out hair. Find these at the hardware store. Wear rubber gloves to protect from scratching yourself with the wire and to grab any clogs you pull up without touching them with bare skin. Hold a flashlight with one hand to be able to see where the clogs are. Reach the wire snake into the drain with the hook side down, targeting any large clumps of hair. Wiggle the wire around so that it goes deeper into the drain. Feel for it to hook onto the clog and pull it out. If the hair clog is tight enough to block water, it will stick together as you pull it up. You may have to repeat the process several times to pull out all of the pieces of the clog. If water runs straight down the drain, you're all set. You can put the drain cover back on and use the shower normally. If the water still doesn't drain, there is another clog deeper down in the drain and you will need to plunge, use a hand snake, or make a baking soda and vinegar solution.

Summary:
Unwind and straighten a wire hanger and create a hook at the end. Reach the wire snake into the drain, hook clumps of hair, and pull them up. Turn on the hot water to tell if the clog is gone.