The partial quotient algorithm is just a way of organizing student’s work with the distributive property. It’s also called continental division. The Ontario curriculum does not require this algorithm, so teachers have to decide if it’s useful step for them.

In the example above, what you are really doing is splitting the 67 up into 30, 30, 6 and 1 – using the distributive property of division to chunk the number into easier pieces to divide.

It sucks