Drivers (more precisely: content part drivers) are pieces of code used in conjunction with content parts. They are responsible for building the editor and display as well as handling importing and exporting of a content part.
Note that the same part can have multiple drivers.
This page and many others here are part of the open-source, portable package of Orchard 1.x goodies: the Orchard Dojo Library for Orchard 1.x. The Library is freely accessible by anyone; just go to its repository to download its full content (you can even download the textual content of the Library as a big concatenated document in HTML), file issues or fork it! You can even edit it online on Bitbucket, just click on the Edit link in the upper right corner!
Note that the Library also has an Orchard Core version, check it out here!