How to divide 18 into 1/3

First you want to set this into a fraction, so it would be 18/1 because every number has an imaginery one underneath it. then when you divide a fraction you multiply by the reciprical (the opposite) so it would be 18/1 times 3/1 then you can simply cross mutiply and divide, which you can't so then you simply take 18 times 3 which is 108/1 then you divide 108 divided by 1 which is 108, your answer is 108