The document describes the partial products algorithm for multiplication. It shows how to break down two multi-digit numbers into their place values, multiply the corresponding place values, and add the results. Examples are provided where 67 x 53 is broken into (60 x 50) + (60 x 3) + (7 x 50) + (7 x 3) and the results are added, as well as another example of breaking down 10 x 20.