Check out University students learn a new long division algorithm .
I am still trying to decipher what this new method really is. There is just one example given, and I am trying to decipher the recipe from it.
This paper does seem odd that it asks college students if this recipe for division is simpler or more difficult than a method they had probably learned in grade school, or at least tried to learn. ( I do believe that school mathematics often "moves on" before many skills are truly developed in the students' minds. If long division was taught initially to college students, their more highly developed brains might catch on more easily than do the brains of pre-teens.)