Wash wool or other fibers for spinning.

Step 4 Final rinse and dry it

Once the gross stuff is gone you will want to rinse with cooler water. Plain tap water from a hose is fine. Simply fill the bucket while avoiding agitation and never run water over the fleece. Then drain it off and repeat until the detergent is gone. You can still make a felted mess if you aren't careful. You'll get a feel for it after a time or two and I'm admittedly erring on the safe side. 

Once the water drains clear you'll want to spread the fleece on your towel or table cloth to dry. Some people like to use screens or mesh bags but this works for me. Just make sure it's in an even layer with plenty of room for air circulation. I also pull apart any clumps or mats as I spread it and pick out large pieces of grass, burs, burs twigs, etc. 

Now just let it dry thoroughly. It should be bone dry before you bag it for storage or further processing and spinning.