You will never find a step-by-step example. It does not exist. You should buy the fifth and sixth editions of Security Analysis, by Graham and Dodd. The fifth edition was written in 1987, the sixth in 1943. No, that is not a mistake.
The revised version of the 1943 edition (commented rather than revised to bring it current to the newer accounting standards) will tell you why you are doing what you are doing. The 1987 version will tell you how. The two together are around 1700 pages. Nowhere in those 1700 pages will you see one example that covers everything.
What you are doing is restating every single item on the balance sheet, income statement and connected statement of cash flows to their economic values instead of accounting values.
For example, imagine a firm has deferred taxes of 100 million dollars as per Generally Accepted Accounting Principles. The firm is a U.S. firm and uses MACRS for tax purposes resulting in GAAP book versus tax book timing differences. Imagine the present value of the tax is 60 million dollars as most of it will not be due for decades. What happened to the other 40 million? It is really equity.
However, when you change tax liabilities you also change income and possibly categories of cash flows. Your cash flows, on a net basis, should be unchanged but may vary on a gross basis. You may want to identify those changes as they may convey information even though final cash flows will end up in the same place.
There is another problem, some firms may need to completely write down their intangibles for analysis purposes but for another firm that would be incorrect. There is no one real firm that embodies all possible changes that could be made. In the real world, there is no universal example.
There doesn't exist a step-by-step example because electrical power generators are very different from stores that sell ice cream. The way you would deconstruct a power producer such as Duke Energy is not how you would deconstruct Baskin Robbins.