Prepare the room by setting up drop cloths across the entire project area. Move furniture items out of the room to avoid damaging or tripping over them.
Spray about a square foot of the popcorn ceiling with warm water. Add a little detergent to the water if you find clean water to be ineffective. Allow the water to soak in for a few minutes.
Scrape the popcorn off with a 6-inch drywall knife. Repeat the soaking and scraping process until the ceiling is as smooth as possible. Leave as few gouges and marks as possible.
Apply a thick layer of joint compound across the ceiling. Use a 12-inch drywall knife. Make the layer of compound just thick enough to conceal the remnants of the popcorn texture.
Let the compound dry for a full day.
Sand the ceiling smooth with 100-grit sandpaper. Repeat the coating, drying and sanding process until the ceiling is flat and even. After the final coat, use 150-grit sandpaper to ready the surface for paint.