I have pulled so many of the Stihl saws apart I could not count them. The 044`s are very easy to pull using the two screws that hold the oil pump in place. You need to figure a way to either bolt something to those two screws or use the threaded holes the screws come out of, then use the two jaw puller to hookup to these adaptations and let the puller screw push on the end of the crank, this will pull the cases apart. OR
If you have a welder and can weld a little then a 3/8" bolt with about 3" of thread, a 3/8" nut, a short length of 5/8" water pipe and a 1/4" thick washer or make a metal disc like a washer. The nut gets welded to the top of the pipe, the bolt runs through to push on the crank, the disc gets welded on the other end of the pipe, it will need either corresponding holes to match the oil pump holes or you can just cut two slots from the outside edge of the disc in towards the pipe, this will allow the disc end to connect to the case with the two screws, run the bolt down to contact the crank end and then turn the bolt to separate the cases.
Remember to remove the 5 case through bolts and the 2 drive pins first.
Pioneerguy600