Question 8
Let $N$ be a positive integer whose decimal representation contains $11235$ as a contiguous substring, and let $k$ be a positive integer such that $10^{k} \gt N$. Find the minimum possible value of
$$
\frac{10^{k}-1}{\operatorname{gcd}\left(N, 10^{k}-1\right)}
$$
$$
\frac{10^{k}-1}{\operatorname{gcd}\left(N, 10^{k}-1\right)}
$$