Cover Your Tracks
Learn how to delete the history on your browser so your abuser cannot tell you have been to our site.
The process for doing this varies with each different browser, and of course as time goes on new browsers are released which requires a different set of directions. This website has some good information on how to erase your browsing history. If you do not see your browser here, a quick Google search for "how to erase my browsing history on X" where X is the browser you're using should turn up the exact instructions you need.
This information may not completely hide your tracks. Many browser types have features that display recently visited sites. Additionally, there is a lot of low-level software that can 'dig-up' where you have been on the Internet as well as what you have done on your computer. The safest way to find information on the Internet, would be at a local library, a friend's house, or at work.
One Additional Tip
When you clear the cache and the history list, you erase not only the information on where you've been, but any other information that had been previously stored there. So, if your partner checks and sees that the cache and the history list have been completely emptied, he'll not only know that you know how to do this, but he might guess that you're trying to hide something.
One possible way to avoid suspicion is to clear the cache and history once you're done looking at information you don't want your partner to know about. After they're cleared, spend some time visiting sites that you think your partner wouldn't object to. This way, the cache and history list start to get filled up and your partner might be less likely to notice that old information is missing.