I use "well" a lot here. It's a faintly polite way of starting a sentence (spelled thus, by the way, Mr Red) in which you want to express disagreement with something said earlier. It has a slightly shrugging air about it. It can represent scepticism about something that's been said. It can express your opinion that the person you're responding to isn't properly in charge of the facts, for example if someone crows that the majority of the country voted for brexit, you can reply "Well, in fact only 38% of the electorate actually did so. So the majority of the country didn't, nothing like..."