Step One:  Prior to disconnecting from the internet, vault the folder where the files you wish to work with are stored.  RMB on the folder in Windows Explorer. Note that the folder icon will change once the folder is vaulted.




Step Two:  Check out the files you wish to work with offline.  This will lock the files and prevent others from editing the files while you’re offline. RMB on the file(s) in the vaulted folder and select Check Out.



Note that checked-out files indicate their status with a checked-out icon.



Finally open files you wish to work with while offline. This will ensure that the files are cached with the latest version. 


Once you are offline, you should be able to make as many saves to the files in question as you wish, When you reconnect to the the network, your saved files will upload and update the version history of the file. Don't forget to check your work back in after the files upload!