1.  Place clean filter in filter basket. 
2.  Fill your water reservoir with a solution of 1 parts white vinegar to 1 parts water.  Fill to max capacity (but not beyond)
3.  Run coffee maker.
4.  Turn off when complete and let water cool naturally.  You can let the water/vinegar mixture soak anywhere from 15 minutes to 1 hour. I prefer to let mine sit longer if I have the time.
5. Empty now-cool water/vinegar mixture. Use clean paper towel to gently scrub any now-loose stains on the bottom (if any are left, they should come up with ease.  White vinegar is amazing.)
6.  Use that same paper towel (that should now be slightly damp with a bit of white vinegar and water) to wipe down the warmer plate and any crevices.
7.  Discard filter.
8.  Fill water reservoir with clean water to full capacity.
9.  Run coffee maker again. 
10. Once coffee maker has completed its course, turn off and allow to cool for 15 minutes - 1 hour.
11. Repeat steps 8-10 if desired.

To Clean Stainless Steel Outside 

*EG Note: If you have any stainless steel appliances, you know that the trade off for beautiful shiny silver is smudgy paw prints from you and your family.  There are  products specially made to take them off,  but with a small appliance like a coffee maker that comes into direct contact with food, I prefer to use products that I'm less concerned about accidentally digesting.