For those interested in how this works...
The line intersections are basically doing multiplication, just separated out into steps and made pretty. The bottom right corner is the intersection between the 2 "ones" places, and the amount of intersections is the product of the two, which is the number of of "ones" in the final product. Now, to get the "tens" place in the final product, you multiply the "ones" digit in the first # by the "tens" digit in the second number, and vice versa, and then add the two together to get the "tens" digit in the final product. And, if ever these numbers are more than 9, then you add the number other than the unit place to the value 10 times bigger, just like in regular multiplication. This process repeats itself a number of times depending on the size of the 2 numbers until you get the answer. I hope this makes sense...