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Thread: Long devision

  1. #1 Long devision 
    Forum Sophomore buffstuff's Avatar
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    Okay I know, it's pathetic.

    But for some reason, I never learned how to do long devision in school. Now, it sometimes makes things difficult.

    Can anybody tell me how to do long devision?


    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  3. #2  
    2112
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    Okay.

    ______
    5|562

    5 into 56 is 11 to make 55

    _11__
    5|562
    _-55 Carry 2 down
    ___12

    Five into 12 is 2 with a remainder of 2

    So you get

    _112_ with a remainder of 2
    5|562


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  4. #3 Re: Long devision 
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    Quote Originally Posted by buffstuff
    Okay I know, it's pathetic.

    But for some reason, I never learned how to do long devision in school. Now, it sometimes makes things difficult.

    Can anybody tell me how to do long devision?
    What type of division were you doing in high school? Your in college now so I have to assume you were doing some type of division. Was it that "New Math" stuff? I'm too old to have been exposed to it.

    Just curious.
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  5. #4  
    Forum Freshman LadyJava's Avatar
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    I can admit that I am clueless about your math situation, but, for the record, it is long division.....not devision......
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  6. #5  
    Forum Sophomore buffstuff's Avatar
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    For the most part, I relied on a good old fashioned scientific calculator to get through high school, and am avoiding math in college.
    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  7. #6  
    Forum Sophomore buffstuff's Avatar
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    Thanks 2112, but I need a little more than that to learn it. If thats all it took, I would have learned already by staring at my old text books.
    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  8. #7  
    2112
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    Seriously, that's all it takes. One number at a time. You still have to know division to do long division. It doesn't look very pretty on this forum, the way I formatted it, but you just divide into one number at a time and carry down the remainders. Like 5 into 52 is 10 with a remainder of 2. That's pretty much it.

    I haven't owned a scientific calculator since Trigonomatry (sp?) and Calculus in high school. Also I hear that you should limit your math classes and take the easiest in college unless the major you choose requires math.
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  9. #8  
    Forum Sophomore buffstuff's Avatar
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    Yeah. Thankfully, I won't have to take math yet fo the transfer I'm going for. Thats going to help me a lot!
    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  10. #9  
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    Another case of technology ruining yet another young mind
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  11. #10  
    Forum Sophomore buffstuff's Avatar
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    And thats a bad thing how? :P
    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  12. #11  
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    It's funny, I would tell you to go search on Google for "how to do long devision". The problem is this site is now #1 on that search...pretty cool.

    We owe it all to the spelling
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  13. #12  
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    Google ads at the bottom provide some good links - and help create revenue to support the site! :wink:
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  14. #13  
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    Buffstuff, I really think it's in your best interest to learn long division. Did you think about perhaps trying some computer based learning software? You may get stuck with childish stuff, but at least you would learn.

    You may want to check this out

    ftp://math.stanford.edu/pub/papers/m...-try-again.doc

    In any case I wouldn't give up on it, it's more useful then you realize.
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  15. #14  
    Forum Sophomore buffstuff's Avatar
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    Yeah, I know. I did have some trouble in school, and sometimes i wish I knew it for practical reasons. I'll get it.
    Progress isn't made by early risers. It's made by lazy men trying to find easier ways to do something. -Robert Heinlein
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  16. #15  
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    I found that so bizarre - apparently significant bodies in mathematics teaching in America decided that the standard algorithms for teaching addition, subtraction, multiplication and long division were actually harmful and should no longer be taught!

    I mean, these guys are the education professionals, there must have been some specific reason for it, but what could that possibly be? And how could it outweigh the obvious benefits of not losing the knowledge of how to perform basic arithmetical operations in the absence of a calculator!

    As for me, I was never taught how to do square or cubic roots by hand.
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  17. #16  
    Forum Freshman Geodesic's Avatar
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    Well, I can do both, but I wasn't taught how to find roots by hand directly, but more as an aside to the main course. Long division I learnt to do using Number Maze, a program which sadly will run only on early Apples
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  18. #17 Wrong Division 
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    Quote Originally Posted by 2112
    Okay.

    ______
    5|562

    5 into 56 is 11 to make 55
    Not to be too terribly nitpicky, but if you follow the algorithm that is normally associated with long division, this is wrong. You would never divide 56 by 5. Let me explain:

    (In this example, 5 is called the divisor and 562 is called the dividend.)

    Algorithm (modified to avoid subtraction -- an irrelevant modification to my criticism):
    1. Examine the first digit of the dividend (here, it's 5). If this digit is greater than or equal to the divisor (5) (which it is), then call that digit N and go to step 2. If not, write a 0 above the first digit and examine the first two digits of the dividend. If it's greater than the divisor, then call those two digits N and go to step 2, else write a 0 above the second digit and examine the first three digits, etc.

    2. Divide divisor into N (here, divide 5 into 5). Write answer as integer with remainder (here, 1 remainder 0). Write the integer above the last digit of N and the remainder below it. Rewrite the integers following N (here, 62) to the right of where you wrote the remainder and subtract from bumber above. Call that new number D.

    3. Go back to step 1 using D as the dividend and continue until D equals a number less than the divisor. Set your remainder equal to that last D and you're done.


    For example:

    Code:
     ____
    5|562
    
    5 >= 5, so N = 5
    5/5 = 1 r 0
    
      1
     ----
    5|562
      0
    
    Bring digits down
    
      1
     ----
    5|562
      062
    
    D=062
    0<5, but 06>=5, so N = 06
    6/5 = 1 r 1
    
      11
     ----
    5|562
      062
       1
    
    Bring digits down
    
      11
     ----
    5|562
      062
       12
    
    D = 12
    1 < 5, but 12>=5, so N=12
    12/5 = 2r2
    
      112
     ----
    5|562
      062
       12
        2
    
    D=2
    Since D<5, we stop.  Our answer is then 
    112 r 2
    [/code]
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  19. #18  
    Forum Freshman poly_nightmare's Avatar
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    I used to have a problem with long division. Of course, that was in fourth grade. I never learned it in my old school so when I went to a new school I had no idea what to do. The teacher taught me it. Our next quiz, I got a hundred. My family is great in Math.
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  20. #19  
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    Excellent, buffstuff, that you can come and get some helpful replies without being shot down. Good luck.
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  21. #20  
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    Quote Originally Posted by redewenur
    Excellent, buffstuff, that you can come and get some helpful replies without being shot down. Good luck.
    Anyone seen Buff lately? I kind of forgot all about him

    Perhaps I'll go try and track him down.
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  22. #21 Long division calculator with step by step mode 
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    You can find a good long division calculator on www.dol88.com



    Step by step mode for better understanding.
    All operations capable (addition, substraction, multiplication, division)

    User manual available on the web site.

    Enjoy
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  23. #22  
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    Here is an animation of it being done.

    http://www.Rockwelder.com/Flash/Longdiv/Longdiv.html

    Many do not know but when you get to a remainder, you actually have the exact answer. In other words a remainder of 18 while the divisor is 23 gives you 18/23rds.

    That is the exact fractional answer. If you take it out in decimal, you will actually get a less correct answer. Because decimal cannot express that number.




    Sincerely,


    William McCormick
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  24. #23  
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    sure it can, just write it out in base 23
    Wise men speak because they have something to say; Fools, because they have to say something.
    -Plato

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