I am making a website and am running into an issue with website cache for my users.

I develop my website and have set chrome developer tools to disable cache for my website for development.

The classic example is the image that is the logo at the top of every page of Ask Leo! Your browser will download it once and then keep it in the cache so that on each page that uses the exact same logo the browser doesn't need to download it again, it can simply use what's in the cache.

For instance, I went to a week ago and now every time I go the scores, news stories, stats, etc. Certain pieces of info on the website are current and sometimes clicking a link will bring up current info, but most is old. Let's look at what happens under the hood, what steps we would normally take to clear it up, and then make some guesses as to what else you might try.

What you're experiencing isn't all that uncommon, though its persistence through the steps you've taken to clear it up is.

Now if I change the logo, say I update it with a new one, then the browser is supposed to notice that the image is newer than what it has, and update/replace the copy in its cache.

That way even for information that changes you always see the most current.