This comes up when fighting some monsters (e.g. ghost and spectre) that allow a divine check to defeat them, but require that that check be magical. For example, if I'm playing Lini and encounter a spectre and I roll an 8 divine check (with no other cards involved), has the spectre been defeated? Can I banish it? Or does Lini simply take no damage and the spectre gets shuffled back into the location?
I've been assuming that divine and arcane checks are magical because that makes sense to me. That might be a house rule, though, because I can't find anything explicit in the rules that says that.