Find the first ten digits after the decimal point in the decimal expansion of $\frac{10}{27}=0.abcdefghij\ldots$ without a calculator. (Express your answer as a ten-digit number.)
This is the only way I know to do this.......
.370
27 [ 100
81
------
190
189
100
Notice, Mellie.....the same pattern would start all over, again.....(and keep repeating )
So.....the first ten digits are......... 0.3083083083
+1836 
