my way.... may be wrong but it works for me.
lift the rear of the atv, remove the tires & top shock bolt (both sides), remove the cotter pin and break the hub bolt loose, but leave it on all the way. with the trailing arms completely extended down give the traiing arm a slight stomp with your foot, it my take 2 trys to get the right amout of force, then the axle will slightly pullout loose from the rear end. grab the inside portion of the axle(slip joint side) and force it torwards the wheel hub until the slip joint is fully compressed. then the axle will fit with a little wiggling towards the front and down and out. next remove the hub bolt and hub slide the axle out of the bearing and it is out.
hope this helps