First I get the scope set so that I know how far forward or back I need it to be for eye relief, then I mark the scope and ring with tape so I can mount it in the correct length later.
Then I remove the scope.
Personally I set the rifle up in a vice or clamp so that it is held securely and so that you will be able to see a wall or fence through the scope when it is refitted.
I remove the scope and make sure to level the rifle itself them clamp that so that it cannot move.
I fit the rings and scope so that is can be rotated but not moved rearwards or forwards (So I dont alter the eye relief I had earlier)
I look through the scope at a vertical line on the fence / wall. And I check whether the cap is horizontal. The cap is only so if I have to check in future, I know whether the cap is suitable to use with the level.
Most people end to hold the rifle on a cant so that when the look through it they "tilt" it slightly without realising it, but the eye will naturally counter that IF the cross hair is actually vertical.
When leveling I ALWAYS use the level in both directions (left / right) so once I have the rifle level I spin the level 180 degrees and make sure it is still level. I have had a couple of cheaper levels that were out slightly and doing this highlights whether the level itself can be trusted.
The offer from @Sasquatch would be a good offer to take up and well worth the effort.
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