Its not fun but it can be done and will take several attempts... I did mine last year. Take a 2x4 or a small block of wood and nail 2 nails about 2" apart (maybe more maybe less-you'll have to experiment). Hook the inside of the coil on one nail and wrap the recoil around and around (the tighter the better but be careful). When it is wound, latch the other end of the coil to the other nail and lock on some vice grips. Set the re-coil in the housing with the outside coil hook hooked on the notch in the housing than release the vice grips. You might wanna use a small flat piece of wood or what have you to keep the coil from springing out place when you release the vice grips.
Once you get the re-coil in place it should stay... Just don't breath on it!! You'll see how the rope pulley matches up the the inside of the recoil once you look at it.
Go give it a shot... BE CAREFUL AND WEAR EYE PROTECTION!!