Expose your print under an enlarger. An enlarger is the piece of equipment that holds the negative and projects it onto your blank photo paper. You will need to experiment to find the right settings on your enlarger and this is part of the trial-and-error process of darkroom printing. Often times when setting up a test print, you will expose one sheet of photo paper several times in different sections using different settings on the enlarger. Then you will be able to tell which setting worked best without having to expose (and waste) several sheets of photo paper.
Put the exposed sheet of photo paper (or print) into a tray with developer. Developer is the first chemical in the process and it develops the image on your paper. Gently rock the tray back and forth so that the chemical washes over the print. The timing for this process depends somewhat on the manufacturer of the chemical, but generally the print should stay in the developer tray for about two minutes.
Pick up a corner of the print with a pair of tongs. You should not use your hands. Hold the print over the developer tray and allow the developer to drip off the corners.
Put the print in a tray with the stop bath. The stop bath is a chemical that stops the developer from continuing to work. Avoid getting any stop on the tongs before putting them back in the developer tray. If a significant amount of stop chemical mixes into the first tray, it could decrease the effectiveness of the developer for your next print. Just as you did with the developer tray, rock the stop bath tray back and forth a couple of times to fully immerse the print. Leave it in for about 30 seconds.
Pick up your print using the pair of tongs provided with the stop bath tray. Allow the chemicals to drip off. Put it in the fixer tray. This chemical's function is to fix the image onto the paper and protect it from altering when exposed to the normal elements in the air. Rock the tray back and forth a few times. Again, the timing for this step depends on the manufacturer of the fixer, but generally the print should stay in the fixer tray for about two minutes.
Pick up the print using the tongs next to the fixer tray and place it in the wash bath tray. This tray is usually hooked up to running water and functions to wash all the previous chemicals off the print.
Allow the print to dry. There are a few options here. You can use a squeegee to get most of the water off the print and then use a hair dryer to speed up the process. You can also place the print on a drying rack and leave it there overnight.