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bonanova

Dividend please (on steroids)

Question

Here are the placeholders for a long division, solvable, even with none of the digits filled in. The quotient has been placed to the side. It has a decimal point, not shown, and its last nine digits are repeating. Meaning, of course, the last row of X's replicates a previous row.

Can you piece together the dividend?


             --------------         _________________
x x x x x x 
/ x x x x x x x ( x x x x x x x x x x x x
              x x x x x x
              -----------
              x x x x x x x
                x x x x x x
                -----------
                x x x x x x x
                x x x x x x x
                -------------
                  x x x x x x x
                    x x x x x x
                  -------------
                    x x x x x x x
                    x x x x x x x
                    -------------
                      x x x x x x x
                      x x x x x x x
                      -------------
                        x x x x x x x
                        x x x x x x x
                        -------------
                          x x x x x x x
                          x x x x x x x
                          -------------
                                    x x x x x x
                                    x x x x x x
                                    -----------
                                    x x x x x x

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4 answers to this question

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I dont really understand the question, why there are seven red x, what is symbol ( in the middle of dividend.

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12 hours ago, aiemdao said:

I dont really understand the question, why there are seven red x, what is symbol ( in the middle of dividend.

It's an alternative representation to put the quotient to the right side.
Here is the more familiar placement. The green (overlined) digits repeat forever.

                              _________________
                        x x x x x x x x x x x x
             --------------        
x x x x x x / x x x x x x x
              x x x x x x
              -----------
              x x x x x x x
                x x x x x x
                -----------
                x x x x x x x
                x x x x x x x
                -------------
                  x x x x x x x
                    x x x x x x
                  -------------
                    x x x x x x x
                    x x x x x x x
                    -------------
                      x x x x x x x
                      x x x x x x x
                      -------------
                        x x x x x x x
                        x x x x x x x
                        -------------
                          x x x x x x x
                          x x x x x x x
                          -------------
                                    x x x x x x
                                    x x x x x x
                                    -----------

                                    x x x x x x

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12 hours ago, bonanova said:

It's an alternative representation to put the quotient to the right side.
Here is the more familiar placement. The green (overlined) digits repeat forever.

                              _________________
                        x x x x x x x x x x x x
             --------------        
x x x x x x / x x x x x x x
              x x x x x x
              -----------
              x x x x x x x
                x x x x x x
                -----------
                x x x x x x x
                x x x x x x x
                -------------
                  x x x x x x x
                    x x x x x x
                  -------------
                    x x x x x x x
                    x x x x x x x
                    -------------
                      x x x x x x x
                      x x x x x x x
                      -------------
                        x x x x x x x
                        x x x x x x x
                        -------------
                          x x x x x x x
                          x x x x x x x
                          -------------
                                    x x x x x x
                                    x x x x x x
                                    -----------

                                    x x x x x x

??? there are 3 digits before green digits , but there are 4 subtraction different from all after

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On 3/21/2018 at 1:18 AM, aiemdao said:

??? there are 3 digits before green digits , but there are 4 subtraction different from all after

 

More clues...

Spoiler

                              _________________
                        x x.x x x x x x x x x x  < -- Showing the decimal point in the quotient
             --------------        
x x x x x x / x x x x x x x
              x x x x x x        <-------------------+
              -----------                            |

              x x x x x x 1 <-- clue                 |
                x x x x x x                          |
                -----------                     (These create the first three digits)
                x x x x x x 0 <-- clue               |
                x x x x x x x                        |
                -------------                        |
                 
x x x x x x 0  <-------------------+
                    x x x x x x                      |
                  -------------                      |
                    x x x x x x 0 <-- etc.           |
                    x x x x x x x                    |
                    -------------                    |
                      x x x x x x 0                  |
                      x x x x x x x                  |
                      -------------             (These create the repeating digits)
                        x x x x x x 0                |
                        x x x x x x x                |
                        -------------                |
                          x x x x x x 0              |            
                          x x x x x x x              |
                          -------------              |
                                    x x 0 0 0 0      |
                                    x x x x x x      |
                                    -----------
      |
                                    x x x x x x <----+

 

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