Multiplication and Cyclic Permutation
The cyclic behavior of repeating decimals in multiplication also leads to the construction of integers which are cyclically permuted when multiplied by a number n. For example, 102564 x 4 = 410256. Note that 102564 is the repeating digits of 4/39 and 410256 the repeating digits of 16/39.
Read more about this topic: Repeating Decimal