Alex, I'm not finding any pics of cuttings of this Monstera in particular but it works the same way as Pothos. Lin's excellent pic of anatomy is a good place to start:
Any node has the potential to take root and start a new stem. Often some leaves are removed to take a cutting, but your long stems already has leafless nodes.
Cut off as much as you want and put the cut end in a bottle or vase of water with at least 2 nodes in the water until roots have formed. Your rooted nodes won't have leaves attached, but this should give you a visual of roots forming @ nodes.
If you want to take a 2nd cut to remove more leafless stem, there's no harm in sticking it in the water too, it will probably take root and grow. Put it in the same direction as it was growing, with the end that was farthest away from the plant out of water.
