Well let's see if I can describe this correctly:

If you have ever done any fly fishing you should know how to retrieve line in by hand. The figure 8. It's done by holding the line between the thumb and forfinger and alternating the wrist back and forth. Catch the line with the pinky against the palm when the palm faces up and between the thumb and forefinger again when the palm is down..The line stacks up in the palm in an accordian like manner.

Start from the end that you tie to the bow and work back towards the anchor end. When about half way throw a couple of wraps around the bunch to hold it together then continue to wrap the rest using the figure 8 again. A couple more wraps at the anchor end and you're done...

When you take it out, simply hold the anchor end and drop from your stand. It will unravel without tangling.