I would usually start by getting to know you and your business better to create a logo that would represent you or your company in the right way.
After that I would show you my first, basic idea(s).
The example I will be using here, is that of the logo I created for Charitea Sweets.
Then I would listen to your feedback, incorporate it and show you my next suggestion, which, depending on your feedback, might still be a simple sketch.
After we have agreed on some basics, I will put my design in the computer and show you a more detailed version. You can then give feedback on the use of colors, type of font and basically everything else.
Finally I will tweak the design until you are completely satisfied.
The final result will be send to you in a range of different formats so the logo can be easily incorporated in print and web without having to adjust anything else.