Well obviously they wouldn't be able to explore the entire galaxy but what I mean is for people to have access to most of the galaxy. Presumably by the 29th century they would have access to slipstream drive or transwarp speeds so they would have access to all the quadrants of the milky way at their finger tips however it would be impossible to stop off at every planet along the way. More likely that they would be assigned a pocket of space.
How long did it take you to do them calculations? seems like a bit of an inefficient use of your time. Or maybe that's your hobbies, fair enough then