Henry Ernest Dudeney/Modern Puzzles/55 - The Repeated Quartette

by : $55$

 * The Repeated Quartette
 * If we multiply $64253$ by $365$ we get the product $23452345$, where the first $4$ figures are repeated.
 * What is the largest number that we can multiply by $365$ in order to produce a similar product of $8$ figures repeated in the same order?
 * There is no objection to a repetition of figures -- that is, the $4$ that are repeated need not be all different, as in the case shown.