I had a software rep demonstrate this ability to me with Dragon Naturally Speaking a couple of years ago. Worked really well. I don't remember what the voice recorder was, except that it was Sony. Recorded onto memorystick, and then she had a memorystick drive on her laptop that Dragon Naturally Speaking transcribed off of. I could probably find this gal's contact information if you wanted to talk to someone directly.
For the record, I trained Dragon Naturally Speaking for about three minutes, and then did a test run at transcribing and got 100% accuracy. It is key to have a good mike and sound card.