They are counted by hand in Denmark. We used to post the results on physical paper at the voting site afterwards + have them published for the entire country (including a list of the votes at each voting site) in the national papers.
If the local results anywhere were different from those published in the papers, people would notice. If they were different in different papers, or in different parts of the country, people would notice.
We have, unfortunately, switched to a list on a website instead of in the papers :(