I've yet to see a full walkthrough anywhere, but my experience with the game has that it's been fairly straight forward... unless you don't want to go the slave route. That is much more difficult. Fortunately, the Dev posted the easiest way to accomplish this on page 2 (and it still works in the latest version):
One easy route to getting enough reputation by day 4 is by cleaning the kitchen perfectly the first 2 days, refusing Kaitlyn and getting fired (to avoid -20 rep hit from going down on her), taking a nap on day 3 (instead of giving massages), sleeping, and on day 4 you will have 16 reputation in the morning. From there you can go hit the mines and start making $$$
With your rep over 15, you can talk to the girl in the dump to get past. Her dialogue is kind of messed up, so you actually need to try to surrender yourself as a slave before you'll have the right option to pass through her.
Once you can work in the mines, money is no real issue and you'll be able to survive without much trouble.