My name is Bence and I have a question about remainders with the DS method. In the book there is an example:47÷12=3.9166666* so the sixes go on forever. The book says the quotient is 3 which is correct. But it says the remainder is 11. So the equation now looks like:47÷12=3 r11. My question is why is the remainder 11 if the sixes go on forever? Or at any other number where the remainder goes on forever.
I hope my question is easy to understand. If not then I am sorry. English is not my native language.