It is another good puzzle so to arrange the nine digits (the nought excluded) into two groups so that one group, when divided by the other, produces a given number without remainder. For example, $13458$ divided by $6729$ gives $2.$ Can the reader find similar arrangements producing $3,$ $4,$ $5,$ $6,$ $7$, $8,$ and $9$ respectively? Also, can he find the pairs of smallest possible numbers in each case? Thus, $14658$ divided by $7329$ is just as correct for $2$ as the other example we have given, but the numbers are higher.
Solutions: 1
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