Remember in many countries you have the right to legal counsel and to have them present during any questioning. Getting said counsel should be a priority if you find yourself in a police station. Be respectful but clear from the start that you aren't discussing your day until the lawyer/attorney is present.

This story is exactly why people need to be educated about their rights. If this poor guy had asked for an attorney the cops would have had to stop the interview immediately until one was present. I imagine once they resumed the question it would have gone differently with a legal professional in the room.