Shredding can be done with graters (hand-held or box), a food processor or even a knife if you have the time.
Foods you would typically shred: cheese, carrots and cabbages but also kale and other greens and vegetables. Meats you would typicall shred: Pulled Pork and Chicken. Shredded meat is done with forks or specially designed untesils for it.
WATCH: How to Shred vegetables
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WATCH: How to Shred Chicken 3 Easy ways
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What is the Difference Between Shred and Grate
The difference between shred and grate is that shredding results in longer fragments, while grating results in shorter fragments.