Break the job down:
Cut yourself some 4” X 4” fairly thin pieces of semi thin cardboard. Use these to scrape the excess ink from out of the screen and back into the ink container. Take a rag, and pour some press wash or ink remover on it. Then completely clean your screen, on both sides, being sure to remove all of the ink residue.
If this will be a regular repeat job, you want to consider saving the screen, if so just put in on a shelf, or wherever is clean. If you are not going to save the screen, pull the tape out of the inside, and you are now ready to reclaim the screen.
Put the screen in a wash out area and wet it on both sides. Spray emulsion or stencil remover on both sides of the screen. Agitate on both sides with a scrub brush, let sit 30 seconds or so and rinse with pressurized water. Do not let the emulsion remover dry on the screen.
After the emulsion is rinsed out, if you have an ink stain left, you may want to use a de-hazer to remove the stain. Make sure and follow the directions on the bottle. The last step is de-grease the screen and then completely dry it. The screen is now ready to be re-coated. If you will not be using the screen for a while, try to store in a dust free and dry environment.