Shredded Paper Recycling Bin Place shredded paper in a clear plastic bag before putting it in your recycle bin. The DocuTeam offers secure, confidential, on-site document shredding. Call with questions. 140 Hind Lane San Luis Obispo, CA 93401 | (805) 544-0440Map & Directions Ways to Reduce Shred Selectively It’s not always necessary to shred a document entirely. You really only need to shred the parts that contain private information. If protected info is removed and shredded, the rest of the document can be recycled. Did You Know? Why Shredded Paper Can Be Hard to Recycle Shredding a piece of paper shortens its fibers, which reduces its value. Shredded paper is almost too small to be useful to recyclers. It’s possible for shredded paper to contaminate the recycling process by slipping past the paper-making screens.