Turn off the John Deere 318 mower and allow the engine a few minutes to cool off.
Open the hood over the John Deere 318's engine.
Find the circular flywheel part at the top of the John Deere 318 mower's engine assembly. There is an iron cover encompassing the flywheel that is held down by several bolts. Remove all of these bolts with a socket wrench. Set the flywheel cover aside.
Take out the single bolt at the center of the exposed flywheel, using your socket wrench.
Place a flywheel pulley over the mower's flywheel so that the two pulley arms extend over the outside of the flywheel. Use your socket wrench to tighten the bolt on the pulley until the pressure created causes the John Deere 318 mower's flywheel to come loose. Place the flywheel and pulley to the side.