BdMO National Secondary 2010#7

[samiul_samin]

Replace each asterick with proof in six digit number $13**45*$ by different digits such that the resulting number is divisible by $792$.

[samiul_samin]

$792=8×9×11$
So,this number must be divided by $8,9,11$.
Using brute force method, my answer is $\fbox {13724568}$
(This brute force is not a long term task.)

[samiul_samin]

Replace each asterick with proof in six digit number $13**45*$ by different digits such that the resulting number is divisible by $792$.

This is Croatia National Olympiad $2005$ Problem no $1$.