Dispose of it safely
Shaving razors and razor blades (both plastic and metal handles) should be packaged properly for disposal in your black cart. Razors are not acceptable in blue carts or at community recycling depots.
Properly package unusable or broken razors by putting the pieces into a puncture-resistant, non-breakable, sealed container (i.e. plastic tub, plastic bleach bottle, milk container or pop bottle) or by wrapping it in two layers of paper and bagging them. Label as "sharps" with a permanent marker and place in your black cart as garbage.