Henry Ernest Dudeney/Modern Puzzles/66 - Another 37 Division

by : $66$

 * Another $37$ Division


 * ''Here is an interesting extension of the last puzzle.


 * If the $9$ digits are written at haphazard in any order, for example $412539768$,
 * what are the chances that the number that happens to be produced will be divisible by $37$ without remainder?