Let's Make Digits Distinct!
Logic
Level
3
\[ \LARGE{ \require{enclose} \begin{array}{rll} \phantom{0}\ \boxed{\phantom0} && \\[-2pt] \boxed{\phantom0}\ \enclose{longdiv}{\boxed{\phantom0} \ \boxed{\phantom0}}\kern-.2ex \\[-2pt] \underline{\boxed{\phantom0} \ \boxed{\phantom0}} && \\[-2pt] \boxed{{\phantom0}} \end{array} } \]
The above shows a long division, where the divisor is strictly greater than the remainder and the quotient is a single-digit number.
Is it possible to fill each box with a distinct, non-negative single digit?
by
Michael Huang