And for all those poor souls having just found their first Tek and unsure on how to proceed, finding the poor thing dead and not having a manual, I have here some useful bits of circuit diagram. These I copied from the Tek 585A manual, but I believe them to be reasonably representative of most 530, 540 and 580 series scopes. You may wish to disagree, please let me know. Note: Tube numbers for the non-A versions are different.
Here is something similar for the 560 series of scopes. The diagrams are from the manual of the 564, but I suspect the 561 will be largely identical. I don't know about the 560 itself. The 564B is different.
Notes: See above.