To achieve this, I sort of stripped the hank of fiber so that it's in thin, very long strips. To spin, I pull out about five small tufts, three or four inches long as you see in the second photo. There's no strict rule - you can pull out about 10 tufts if you wish. It's simply for convenience to have them at hand when you are ready to join them to what you've already got on the spindle.
As you can see on the spindle, the result is a fine singles with a very nice sheen. It can be spun thin because it's very strong.