Is there a direct counter where I can see the total daily votes (40 votes) without the need to subtract from the last vote given yesterday, for example?
Click on your user profile (defaults to the Activity page if for your own user). A summary (by period and type) of voting is listed in the bottom-right of the profile page; here's mine on Meta.TeX.SE:
Clicking on "View more" will show you explicit voting actions (including up/down votes, closures, deletions, ...). A shortcut to this detailed view is available by clicking on the Votes Cast link in your profile (top-right):