DS method remainder

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  • #8760
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    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.

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    I solved my problem. I was just stupid. Sorry!

    Abhishek R
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    Hey 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 = 36

    So 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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