Many Asian supermarkets have pre-shredded green papaya and that is what I use. However, if you can only find whole green papaya, the papaya can be peeled and shredded using a regular cheese grater with medium to large sized holes. Or if you can find a papaya shredder, it works wonder. When you get closer to the center, you will see the white immature seeds inside. Stop and move onto another part of the papaya. Discard any seeds that got into your bowl. If you have a food processor with grater, you can shred the papaya faster.