What Is A Heegner Number?

Logic Level 1

\[ \large \boxed{\phantom0} \: \boxed{\phantom0} \: \boxed{\phantom0} \div \boxed{\phantom0} \]

All the digits \(6,7,8\) and \(9\) are used exactly once to fill in the boxes above to form a ratio of a 3-digit integer and a 1-digit integer. If this ratio is an integer, what is the maximum possible value of this ratio?

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