Assemble one side and check for stiffness, if you have any you need to clean it again. Do the same with the optical block, run the brass ring up and down on it, check for stiffness. If all is well, we can now apply the grease. My weapon of choice is Japan Hobby Tool Helicoid Grease there are a few different types depending on how stiff you want your focus to be, choose the one that works for you. I like a nice medium between ease of focus and not going anywhere I think the stuff I use is #10 but don't quote me on that. They also make a really nice nameplate removal rubber tool which various different sizes which I also used on this lens.
Then, once you apply the grease, a small amount, run each side through the helicoids separately to check for viscosity and any hitches in the movement. Remove the ring then with a small Q-tip remove the excess grease from the ends of the thread where the two helicoids meet in the ring. Check viscosity again, if you are happy with it, let's put this thing back together.
Now is also a great time for a screw check on the base, 50 years of vibration can loosen things. My optical block actually came out by hand once I got the ring off.
The fun begins, pay attention to this image right here. See how this screw and the alignment tab are aligned? This will help with re-assembly, mark this screw with a tick mark between the helicoid and the black outer shell, I'll show you where it aligns, this is the tricky part