Pull the chaise out into the center of the room so that you can walk around it easily. Remove the cushions and vacuum the chaise using your small attachments. Pull fabric away from corners with your fingers so that you can reach into the cracks and crevices.
Drag a lint brush over the entire chaise to remove dog and cat hairs and small bits of clinging debris. If you discover caked-on stains, try to carefully scrape them off. Clean both the chaise and all loose cushions.
Apply a small amount of upholstery stain remover to a hidden area of the chaise. Check the area 30 minutes after you apply the remover to see if the remover discolors the fabric. Once you know the product will work safely with your furniture, apply a small amount on a stain and draw the stain out of the fabric with paper towels by blotting. Treat every stain.
Place plastic sheeting over your carpet or flooring. Position your chaise on the plastic. Steam the entire chaise and cushions with a furniture steamer. Prop the loose cushions up so that they receive air on all sides. Reassemble your chaise once the chaise and cushions are dry.