Take removable cushions off the furniture. Brush away dirt with a soft brush. Do not rub at the upholstery because you may push the dirt into the fabric further.
Suck out as much water as possible with a wet-dry vacuum or carpet shampooer with an upholstery attachment.
Flush the upholstery thoroughly with plain water to rinse away dirt and debris if the water was not clean drinking water. Pour an equal mixture of water and white vinegar to rinse the upholstery and padding further. White vinegar will help to prevent mold and mildew growth.
Draw out as much of the rinse water as possible with a wet-dry vacuum or upholstery attachment on the carpet shampooer.
Lay several towels on the wet upholstery. Place heavy weights on top to force the dampness out and transfer it to the towels. Remove the weight and towels.
Set up fans blowing directly at the wet fabric to speed up the drying process. Move the fans around frequently to dry from all angles. Continue to allow the air to blow on the upholstery until it is dry. Set up a dehumidifier to remove excess moisture from the air and promote drying.