1/7, 2/7 ... and 6/7 all have the same repeating sequence in their decimals

Explanation

The sequence is 142857 and it is known as a cyclic number, meaning its multiples (1 through 6) are cyclic permutations of the same digits (1/7 = 0.142857...; 2/7 = 0.285714...; ...). This pattern occurs because 7 is a prime number that does not divide any power of 10 minus 1 (like 9, 99, etc.) until 10^6 - 1 = 999,999. As a bonus: 142857 × 7 = 999,999.