Originally Posted by Bayoux5

Yes, all by hand.

As you pull down on the spindle you can turn the shaft until it slides out. The written details show how to orient the shaft based on the flat sections. They have to be straight up. It will be obvious when you see it. Pay attention to not excessively pull on the shaft and stretch the CV and rack boots too much.

Also be cautious to not damage the CV boot as you wiggle the strut mount around to get it out. You get very close to the boot at times.

Note the direction and orientation of the upper spring perch with respect to the direction of (vehicle) travel. This is spelled out in the worship documents (again, search this site for them).

When you go to put it back in (the prop shaft) you may have ti turn it whilst pushing it in. When it aligns properly it will slide into place. Again, it will be obvious when the splines align as it will suddenly move in towards the engine.

When you put the spring strut back on the car secure it at the top with one of the flange nuts. Tighten the nut by hand only a few turns. This allows the strut to be supported from above but also allows leaves enough play in it to align the other parts. Once you get everything started you can begin tightening the fasteners.
I used a strap to secure the wheel hub (spindle) to the upper wishbone while I worked on the strut on the bench. Don't just let it hang by the boots.

I forgot to mention that you should also consider replacing the upper and lower spring perches.

Look at the REALOEMBMW site for the exploded view of everything you need.
RealOEM.com - Online BMW Parts Catalog