It's amazing that they can look at their equivalent to Google maps, decide, "OK, let's set it down right here." And then the computer does exactly that. But then, they used a Z80 to control the moon landings. That was an 8 bit 4 MHZ processor that could address 64K of memory. It could use more memory using a paging register. I wrote probably half a million lines of code for the Z80 and the company I was working for was constantly in a bidding war with NASA to buy enough processors to keep up production.
Anyway, I can see why the computer in the first lunar lander went into overload and they had to finish the landing manually.