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Math Help - Division Problem

  1. #1
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    Division Problem

    Yeah, I'm not in middle school but I ought to be... Studying for the GMAT and I can't figure out this flippin division question and could use some assistance.

    I keep coming up with 6.028 but the answer is 6.09, as any math calculator will tell you.

    How is the question...

    It starts with:

    19.6 / 3.22 (which is supposed to = 6.09 - but how?)

    I then converted it to:

    1960 / 322

    But I come up with this:

    1960 / 322

    322 x 6 = 1932

    1960 - 1932 = 28

    Add in the decimals, blah, blah... And that's what I got.

    Are there any good math calculators online that actually show the work?
    Last edited by matoau; April 2nd 2008 at 08:59 PM.
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  2. #2
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    You are using a remainder in decimal position!

    Okay,
    6*322=1932

    1960-1932=28
    28/322=.08

    A remainder is not to be put in a decimal expansion of a fraction. It must be considered in relation to the denominator, ie. divide it by 322. Continue as necessary...
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  3. #3
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    i'm still struggling here....

    How does this work?

    28/322=.08

    When I run 28 divided by 322 I too get: .08 in the calculators... How how do I achieve this result with NO calculator, i.e., all on paper?
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  4. #4
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    Basically... How on earth is this achieved (showing work so I know how to do it in the future)?

    28 / 322 = 0.086
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  5. #5
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    Quote Originally Posted by matoau View Post
    Basically... How on earth is this achieved (showing work so I know how to do it in the future)?

    28 / 322 = 0.086
    Here is a nice tutorial on what to do.

    Long Division With Remainders
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  6. #6
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    And, from the same site, dealing with decimal places specifically:

    Division with Decimals
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  7. #7
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    Quote Originally Posted by matoau View Post
    Basically... How on earth is this achieved (showing work so I know how to do it in the future)?
    This is only a procedure to calculate the quotient:
    Code:
    28.00000  322 = 0.08695....
     0 ↓↓↓    0 * 322
    ---↓↓↓
     280↓↓
       0↓↓    0 * 322
    ----↓↓
     2800↓
     2576↓    8 * 322
     ----↓
      2240
      1932    6 * 322
     -----
       308
    You only calculate the next digit, multiply this digit number by the divisor and subtract this result. Add the next digit from above and repeat this process.

    I hope this helps a little bit. Probably you'll find better explanations if you take a math book of the second class.
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  8. #8
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    I figured it out...

    ::sigh::

    I just did:
    28.00 322

    Since I only needed the answer to the hundredth rounded, I finally figured it out. Yeah, I just need to see the work done to figure out how it's supposed to work and then from there I'll be able to apply that to future problems.
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