Open up the DeviantART homepage in Firefox (This is also possible in Swiftfox if you're running Linux).
If you do not have Firefox, go to www.mozilla.com, download the installer, and follow the instructions.
On the Location Bar near the top of the window (some people call this the Address Bar or AwesomeBar), there should be an icon shaped like a star.
To the left of this icon is another icon, commonly called the "RSS icon". Click the RSS icon and you should be taken to a new page.
On the new page, ignore the 'Subscribe Now' button and scroll down until you find a preview of the content you wanted to view and two links.
Click on the link that says "<image name>.jpg" and the full-size image should appear.
It should be noted that the previous steps alone will not display all the images in the artist's gallery.
To view earlier images, you'll have to edit the URL address. This is very simple: Simply increase the number after "offset=" to the number of desired earlier images and hit Enter.