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Start with the given expression
Translate the division problem into this:
_______
15 | 1.00
Now think of this as 100 divided by 15. So how many times does 15 go into 100? It goes in 6 times. Place a 6 over the second zero and multiply by 15 to get 90. Place 90 underneath 100 and subtract to get 10. Also bring down another zero
___.06__
15 | 1.000
90
-------
100
Now how many times does 15 go into 100? Again the answer is 6. Repeat the last steps
____.066__
15 | 1.0000
90
-------
1000
90
----
100
This process will repeat itself infinitely. So this means 
where the 6's will repeat forever
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