When IE (11) prompts for credentials you should be given the option to "remember" them with a "Windows Security" pop-up (in W7 Pro).
We often set "remember" for some of our internal (intranet) sites and you only need to set the \domain\userID once and it should remember it.
All our users laptops are not part of the internal domain as they work remotely and access by VPN.
If the wrong domain is shown, such as our laptop "computer name" is the same name as the user's login name. "Windows Security" show that as JaneDoe19\JaneDoe19 or it lists "Domain: JaneDoe19" blow the account field and the AD server (whatever maintains the user's authentication info) is NOT part of that domain you have to specify which domain to use to look for credentials.
Therefore, if "Windows Security" says JaneDoe19\JaneDoe19 you have to "Use another account" and set it to the correct \domain\userID and then remember it.
Beware though that we have found that after using "remember", when accessing the site with Chrome it seems to "mess" with whatever stores those credentials and IE11 will stop bringing up the "Windows Security" pop-up so then you get "Web page can't be displayed". Looking at the details we see "authentication error (denied, whatever)". Even clearing the remembered credentials with "control userpasswords2" from an elevated command prompt will not necessarily make IE11 pop up the "Windows Security" credential window or if it does authentication may still fail. (Rebooting doesn't help.)