How are you meant to use Stack Overflow?
For problems I have in programming languages, either way I look at the implementation of some unknown stuff (class, function, and so on), or I go on the official doc.
Other than that, there are many solutions for browsing without the mouse (but they're not working for every website). You should look at qutebrowser, or some browser extension like Vimium or Pterodactyl. I speak about it quickly in the book.
[1] https://chrome.google.com/webstore/detail/vimium/dbepggeogba...
[1] SoCli (Python): https://github.com/gautamkrishnar/socli
[2] so (Rust): https://github.com/samtay/so