Be sure to wear gloves for this part because the chayote can release a sticky substance that is hard to remove even with soap and scrubbing, plus it can make your skin itchy!
Using a pairing knife, peel the chouchou, including all the little bits of skin in between the folds.
Cut the chouchou in half, and carefully remove the flat seed. Grate the chouchou pieces into a large mixing bowl using a grater or a food processor like Cuisinart.
Add 2 teaspoons of salt to the grated chouchou. Mix everything really well and transfer into a large strainer (or colander). Put the large strainer over a large mixing bowl to collect all the water.
Set aside and let it sit for 45 minutes to 1 hour. If you only set it aside for 10-15 minutes (which is what most recipes will tell you to do), the grated chouchou will not release enough water.