See http://perplexus.info/show.php?pid=7570&cid=46819 for the method.

kx+1=1000; k=27,x=37, so IN is one of these, GO= 27*.F2X... or GO=37*F3X.

From Excel, 17/27 = 0.6296296, 25/27 = 0.9259259 but both 17 and 25 share a digit with 27.

Also, 5/37 = 0.1351351, 16/37 = 0.4324324, 31/37 = 0.8378378, but of these only 16 is long enough and also does not share a digit with 37.

So: 16/37 = 432432432... is the required solution.