This method is longer but it helps them grasp the concept of what division is so that they can then extend that thinking.
actually i think the two methods of division are entirely pointless to teach youth. they are both mechanical algorithms that contribute very very little to the logical sophistication of kids, especially when you consider the other things you could teach them instead (set theory).
in other words, one method is short but easily forgotten, the other is long and remembered, but actually in real life you don't need to remember how to divide numbers and you also don't need to do it fast.
So your plan is to teach division by telling someone to 'divide'?