Long division of infinite series
Long division of numbers is usually taught in primary schools to children as one of the basic arithmetic skills. Consider, for example, 486÷5. It technically requires the child to atomize 486 into blocks of fives. There are a few ways to handle this problem. Since we know that 90×5=450, one way to do 486÷5 is: 486=(90×5)+(480−90×5)+6=(90×5)+30+6=(90×5)+(6×5)+(5+1)=(90+6+1)×5+1=97×5+1 We can also repeat the process with a different seed number, for instance, instead of 90, we can start with 80: 486=(80×5)+(480−80×5)+6=(80×5)+80+6=(80×5)+(50+30)+(5+1)=(80+10+6+1)×5+1=97×5+1 This essentially means that 486 can be a...