There are a number of different ways to create the long tail cast-on. There are a couple of different ways to work the Long Tail Cast-On. I've got 2 videos showing the standard method and the Thumb Method.
The only difficulty knitters have with this cast-on is figuring out how long to leave the tail. A usefully little knitting hack if you have problems with this is to use the second end of your yarn skein instead of a tail so you can't run out!
Here's a video of it in action:
The Thumb Method of the Long Tail Cast-On creates the very same result using a different technique.
Why not give this technique a try in one of the following patterns: