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## 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
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x x x x x x x
x x x x x x
-------------
x x x x x x x
x x x x x x x
-------------
x x x x x x x
x x x x x x x
-------------
x x x x x x x
x x x x x x x
-------------
x x x x x x x
x x x x x x x
-------------
x x x x x x
x x x x x x
-----------
x x x x x x

## 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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