Hang the hose upside down to drain all the water left inside the hose. Lay the hose out flat in the yard and use a saw to cut away the metal ends on each end of the hose. Recycle metal separately from the rubber.
Cut the hose down into smaller lengths, about one foot for each length. Save them up until you have enough to shred. Rent a shredder from a hardware or home improvement store at a daily or hourly rate.
Power up the shredder in the manner specific to the machine, gas or electricity. Don safety gear, which includes goggles and ear plugs. Throw each individual length of rubber hose into the chute and allow a few seconds before tossing in subsequent hose lengths.
Turn the machine off once you've shredded all the hose lengths. If you don't know already, consult online or your local telephone directory for information as to where to take the rubber to be recycled or use the chips as an environmentally friendly mulch around trees, shrubs and bushes to inhibit weed growth.