Each game save is a folder in the '..\Divine Divinity\Run\savegames' folder.

In the unlikely event you do not already have a zip program, check out these freeware archive managers.

Depending on your ISP's limits, you may be able to email a couple of the zipped saves to yourself, and check your mail after the restore, but I would not count on this exclusively. If they offer web space, that would be more reliable for temporary storage.