Question 933190
if {{{1/17=0.0588235294117647....}}}, determine the {{{614th}}} digit of the decimal expansion. 

{{{0.0588235294117647}}}- here you got {{{16-digit-cycle}}}, means you just add next cycle to first one like this
{{{0.0588235294117647 0588235294117647...}}} and repeat until you got  decimal {{{614}}} digits to see which one is it...:-)

or do it this way:

{{{614/16=38 +6/16=38(full_cycles)+(3/8)(of_39th_cycle)}}} ..

since cycle has {{{16}}} digits,{{{(3/8)16=6}}} digits; so, we add  {{{058823}}} from 39th full cycle,last one is digit we need and it is {{{3}}}

so, the 614th digit of the decimal expansion {{{3}}}