The document provides examples of breaking down multiplication problems into easier steps by thinking of numbers as sums of other numbers and multiplying the parts. It works through problems like 67x53 by treating them as (60+7)x(50+3) and multiplying and adding the results. Similarly with other problems like 10x20 and 30x70, breaking them into parts to multiply and then add the partial results. The document encourages trying another problem on your own and provides the answer to check the work.