That table I posted was copied from Excel. What I did was fill in the known values and looked at the unknowns. When there were two parameters available, I filled in all the other data. Then using the principles of KCL and KVL, started filling in what I could until there was enough information to complete the table, one resistor at a time.
For instance, R6's values gave me the current through R1. KCL stated that the current through R3 was R6 current minus the current through R2 or R4, or R5. The voltage across R3 was the sum of the voltage drops of R2, R4, and R5.
So for me it was the simple matter of using the basic formulae, and knowing KCL and KVL.