 The division method for base conversion forms the complement to the multiplication method. So whereas the multiplication method has you performing your arithmetic in the destination base, the division method will have you do it in the source base. And again, we're going to have a whole lot of arithmetic to do, but it's going to involve relatively straightforward numbers to work with. We won't have to memorize anything. As the complement of the multiplication method, the division method basically works in reverse. So we're going to start by taking our number, and we're going to do a whole lot of division. Each step, we're going to take the remainder out and just use that as the next digit in our solution. So we'll gradually build up our solution one digit at a time. If we start with a number like 85 and base 10, and we want to convert this to base two, I'm going to start by dividing by two. So this will give me 42 remainder one. So I'll take this one and I'll write it down. That is now my most significant bit. Of course, I don't have any other bits, so it's also my least significant bit. Now I'll go back over here and I'll divide by two again. So 42 divided by two gives me 21 remainder zero. So I'll copy down the zero and I'll divide again. So 21 divided by two gives me 10 remainder one. I'll copy down the remainder again. So 10 divided by two gives me five remainder zero. I'll copy down the remainder. Five divided by two gives me two remainder one. So I'll copy over the one, two divided by two gives me one, remainder zero, and one divided by two gives me zero, remainder one. Now I can continue doing this division as much as I'd like, but my results are never going to change. Zero divided by anything is always going to give me zero remainder zero. So I just get an infinite number of zeros. So this is my same number in binary as 85 in base 10. While this turns out to be a palindrome, we can also look at this as saying, here's the beginning of my number, here's the end of it. So I can actually just read down this list of remainders and say that this is my number in base two. So one zero, one zero, one zero, one. If we had a more complicated number, this would be a little more obvious. If we had something that wasn't symmetrical, in this case it's not clear. But you certainly can do that. That would do exactly the same thing as writing this out one bit at a time.