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Math Help - division

  1. #1
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    division

    If you divide a 5 digit number by a 2 digit number, how many digits will the remainder have?

    It will have 2 digits but is there a practical way to solve that type of questions?
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  2. #2
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    Re: division

    Hey kastamonu.

    There is a way and its through logarithms.

    The number of digits left over after dividing m into n digit will be ln(m/n) = ln(m) - ln(n) where ln(m) is the number of digits (in fractional form) and ln(n) is the number of digits for n (again in fractional form).

    You can round the log results but that's the basic idea.
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  3. #3
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    Re: division

    for example 59873 by 45,
    Logarithm method is not a quick way. You have to look for the log table. I need a more quick way to get the answer in 1-2 minutes.
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  4. #4
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    Re: division

    By definition, the remainder does not exceed the divisor, so it will have at most two digits.
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  5. #5
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    Re: division

    Many Thanks.
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