This is the partial quotient method of long division. It looks a lot the the hangman game we play to guess words sometimes because it keeps getting longer and longer till you solve.
This way of solving long division lets you use boxes. It looks similar to the way we first learned multiplication in 4th grade.
This method of long division teaches us the traditional algorithm. We use the acronym Daddy, Mommy, Sister, Brother to help us remember the steps.