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When reading a document in a browser, I rely on the scrollbar to know things like: how long is it? Where am I in the document? How much of the document is on my screen right now?

This is critical for decisions like: "Should I read the whole thing?" and for building a mental map of the whole document.

I use the scrollbar to scroll between parts of the document if I need to flick back and forth quickly, say between the data and the interpretation, once I have that mental map and know where things roughly are.

While reading, I'm dragging or wheeling.

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You can do interesting things in the scroll bar. Some coding editors (like Visual Studio) cram a lot of useful information into the scroll bar.

https://learn.microsoft.com/en-us/visualstudio/ide/how-to-tr...

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For mouse users, clicking and dragging the scrollbar is the fastest and most intuitive way to scroll through a large document or list. (The scroll wheel, if you have one, is much slower.)
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Until some dolt decides to build "infinite scroll" - I've seen dragging the scrollbar with the mouse cause JS exceptions to be thrown on some pages. One for the UI hall of shame.
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