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- This topic has 2 replies, 2 voices, and was last updated December 8, 2019 at 6:25 pm by Abhishek R.

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- December 8, 2019 at 6:25 pm #8760
Hi!

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.

December 8, 2019 at 6:31 pm #8761I solved my problem. I was just stupid. Sorry!

December 9, 2019 at 4:27 am #8762Hey Honorous,

Glad you were able to figure it out.

No question is a bad question.

I will just highlight the steps here in case it will help other students get clarity.

We are dividing 47 / 12

12 x

**3**= 36So 3 is the quotient.

47 – 36 = 11

11 is the reminder.

If you wanted to calculate decimal places you would add 0 to 11 and continue dividing by adding a decimal point. But since we are interested in getting the reminder we won’t do that.

Hope this clarifies. Feel free to ask anything that you need help with.

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