Negative division

Discussion in 'Math' started by Lightfire, May 2, 2011.

  1. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    Hello,

    I just want to ask how to divide this;

    53 divided by 70.:)Using a paper and pen. I can only divide if it is;
    70 divided by 53.

    Thanks!
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    Try this:
    53/70=
    (530/70)/10

    Do you know how to do this one?

    The way I do it, when I do vertical division, is to add a decimal mark and zeroes if needed) in the quotient, until the dividend is greater than the divisor.

    For example, 5.3/70 would start as:
    5.3|70
    ....|....

    And I would re-work it as:
    530|70
    ----|0.0

    and continue with the division normally.
     
  3. ErnieM

    AAC Fanatic!

    Apr 24, 2011
    7,388
    1,605
    I would start by setting the problem on paper with the divisor (70) on the left, the dividend (53) on the right, with a line over as a place for the quotient (answer), like so:

    Code ( (Unknown Language)):
    1.  
    2.  
    3.    -------
    4. 70 |53.0
    5.  
    First we ask "how many times does 70 go evenly into 53? As the answer is zero we write that down in the units position.

    Code ( (Unknown Language)):
    1.  
    2.      0
    3.    -------
    4. 70 |53.0
    5.  
    We are out of integers and now must work with decimals, so in the quotient area add a decimal place. In the dividend area add a zero so we can work down 10 times the precision of the number we have:

    Code ( (Unknown Language)):
    1.  
    2.      0.
    3.    -------
    4. 70 |53 0
    5.  
    Our question is now how many times does 70 go into 530, which is 7. Write the 7 down in the quotient, and write the product of 7*70 (= 490) below the dividend, and subtract:

    Code ( (Unknown Language)):
    1.  
    2.      0.7
    3.    -------
    4. 70 |53 0
    5.    -49 0
    6.    -------
    7.      4 0
    8.  
    As we still have a remainder we again tack on the zero to the remainder and see how many times does 70 go into 400, which is 5, and we mark down 5 times 70 below the remainder and again subtract:

    Code ( (Unknown Language)):
    1.  
    2.      0.75
    3.    -------
    4. 70 |53.0
    5.    -49 0
    6.    -------
    7.      4 00
    8.     -3 50
    9.    -------
    10.        50
    11.  
    Those are the basic steps. You keep repeating until either the remainder is zero, or you have sufficient precision in the quotient.
     
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