hi(Happy)

In a library,books are being coded with this method AAA, AAB,...,AAZ, ABA, ABB, ..., ABZ, ACA, ...

What is the code of the 8273(th) book ?

i followed some hints,and i found the code$\displaystyle MGE$ (Euclid's division)

is it correct ?

is there any other way to solve this problem ? because i don't understand how the Euclid's division helps find the solution(Wondering)

thanks a lot.