Summing Decimal Digits

The decimal equivalent of 104654/104659
runs to many thousands of places. If you add all the decimal's digits
together, they will eventually sum to the denominator, 104659. How many
decimal places are necessary to reach this sum? |
0.99995222579997 8979351990750914 8759304025454093 7711998012593291 2554104281523805 8838704745889030 0881911732388041 1622507381113903 2476901 . . . |

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Last Updated: January 14th, 2010.