Step 1: Coiling a length of cordage
There are two types of coils for this process, a forehand coil which is how most people coil, and then a backhand coil.
The forehand coil will put a twist in one direction while the backhand coil will put a twist in the opposite direction.
The idea here is to use alternating forehand and backhand coils to cancel the twisting that would normally develop in the cord as it is being coiled.
I start with a forehand coil, slide my hand along the cord and grab it with my hand flipped the other direction and then complete the coil and repeat.
This method takes some getting used to but I found I can actually coil cordage much faster than coiling in only one direction. When you are ready to use the cord again, simply pull it apart and it will straighten up with very little twisting.