GolfScript, 34 bytes
:a;7,{a"sdrmflsooeiaail"@>7%/,2=},
Explanation
:a; # Assign the input to the "accumulator"
7, # Yields [0 1 2 3 4 5 6]
{ }, # Keep all that full fill this condition
# Item = current item
# ac = accumulator
a"sdrmflsooeiaail" # Stack: <item> <ac> "sdrmflsooeiaail"
@ # Stack: <ac> "sdrmflsooeiaail" <item>
> # The slice begins at the current item
7% # With a step of 7
/ # Try to split the input by the sliced item
,2= # Is the slice was successful?