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Math Help - dividing large numbers

  1. #1
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    dividing large numbers

    First I will write this example in European notation ( I hope you will understand ).
    Lets say I am dividing 41472 / 324 = 128.
    I' am doing this like that:
    41472 / 324 = 128 // 414 / 324 = 1 remainder 90
    907 // write 90 and 7, 907 / 324 = 2 remainder 259
    2592 // write 259 and 2, 2592 / 324 = 8 remainder 0

    Is there anyway to do divison mechanically (like multiplication)? For example, in last step when I am dividing 2592 / 324 = 8, I need to guess in my head that 324 goes 8 times in 2592.
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  2. #2
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    Quote Originally Posted by dontoo View Post
    First I will write this example in European notation ( I hope you will understand ).
    Lets say I am dividing 41472 / 324 = 128.
    I' am doing this like that:
    41472 / 324 = 128 // 414 / 324 = 1 remainder 90
    907 // write 90 and 7, 907 / 324 = 2 remainder 259
    2592 // write 259 and 2, 2592 / 324 = 8 remainder 0

    Is there anyway to do divison mechanically (like multiplication)? For example, in last step when I am dividing 2592 / 324 = 8, I need to guess in my head that 324 goes 8 times in 2592.
    Find common factors in the numerator and denominator and divide numerator and denominator by those factors.
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  3. #3
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    I see
    2592 = 3*3*3*3*2*2*2*2*2*2
    324 = 3*3*3*3*2*2
    so 2592/324 = 2*2*2

    Guess that is only way.
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  4. #4
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    Quote Originally Posted by dontoo View Post
    I see
    2592 = 3*3*3*3*2*2*2*2*2*2
    324 = 3*3*3*3*2*2
    so 2592/324 = 2*2*2

    Guess that is only way.
    Actually it's 2\cdot 2\cdot 2 \cdot 2.
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