Maybe a more concrete example using a computer for tech diving will help.
So lets say I'm going to do a 150' dive on air for 30 minutes. I will select a deco algorithm (ZHL-16C w/ GFs for me), a conservatism level (probably 50/80 GF Lo/Hi or something), input that into my desktop software with whatever deco gas I've elected to use (80% or 100% usually), and then hit the run button.
The software will tell me what my deco obligation is, how much of each gas I will use (based on the preferences I've set in the software), what CNS% I will have, OTUs, and when I will need to switch gases (though it's pretty standard based on the deco gas you choose). So, I will "cut tables" using the schedule the software has computed based on the algorithm, conservatism, and gases defined. Usually I'll have two contingency tables for longer runtime and deeper depth just in case. I take these tables and tape them to my slate so I have them with me during the dive.
Next I have a recreational computer set to gauge mode, that will act as my backup should my primary computer fail. If the primary computer fails, then I rely on my gauge mode computer and tables to complete the dive.
Lastly, I make sure my tech computer is configured for the same conservatism and deco gas(es) and jump in the water. During the dive I mainly pay attention to my tech computer for run time, depth, etc. I reference it regularly so I will be able to make a decent guess of where I am in the dive if all of a sudden the screen goes blank and I have to resort to my BT/tables. I do the deco schedule prescribed by my tech computer, because it's calculating that on the fly, and it lets me know when I'm carrying a more efficient deco gas than the one I'm currently using. At the same time, I make sure to stick closely to my cut tables in case I have to employ them instead due to a malfunction (plan the dive, dive the plan comes to mind).
Anyway, this is how I incorporate a tech computer into my deco dives. There's plenty more involved in the planning process, but that's pretty much how the computer fits in.
Mike