A clean microfiber couch makes a bigger difference than you'd think. Here's the most effective method, plus the mistakes most people make.
Vacuum the entire couch with the upholstery attachment to remove dust, hair, and crumbs.
Look at the tag for the cleaning code: W (water), S (solvent), WS (either), X (vacuum only). Microfiber is usually W or S.
For S-coded microfiber, fill a spray bottle with rubbing alcohol. Spray a section of the couch lightly.
Scrub immediately with a clean white sponge. The alcohol evaporates and lifts stains. Use white only -- colors can transfer.
Once dry, brush the microfiber with a soft brush to restore the original texture and remove any matting.