Wash wool or other fibers for spinning.

Step 3 Drain and repeat

 When you have the next round of hot water ready you can pour off the water in the bucket. It's going to be pretty filthy the first couple times. Just dump it out taking care to hold the fleece in the bucket and not dump it along with the dirty water. I do this with my hand. It's kind of hot but it's the easiest way i have found. 

Just let it drain like you might with pasta. Just takes a little patience. 

It's also a good idea to leave it piled up on one side of the bucket after you drain the water and tip it up. That way you can add the next batch or detergent without pouring it directly on the fiber as well as refill your bucket with minimal agitation of the fleece from running water. 

Once you have the detergent in the bucket fill it up again and repeat until you are satisfied with how clean the water you are pouring off is. 

Some spinners avoid getting the water completely clean so as to leave a small amount of lanolin in the wool. This is thought to make spinning a bit easier. I tend to agree but I'm not an "expert' spinner. There are far better than me on both sides of the discussion. Though, many of the extra clean folks do add commercial lanolin back into their fleece. For my part I'd rather spare the extra step and expense of the lanolin if it's already there.