Cyclic number 076923

Under my blog title Fun with numbers I had introduced information about 2 cyclic numbers viz 142857 and 0588235294117647.The first one is found by taking the reciprocal of 7 and the second one by taking the reciprocal of 17.
Now I am introducing another cyclic number 076923.This is obtained by taking the reciprocal of 13.
The number 142857 has 6 digits-one less than 7 used for taking the reciprocal-and shows cyclic nature by multiplying with numbers from from 1 to  6.The second 16 digit number shows cyclic nature by multiplying with numbers from 1 to 16.
You will ask a question about the cyclic number now introduced by me viz 076423-which has only 6 digits-what happens when the same is multiplied by the 12 numbers from 1 to 12.Actually the number 076923 and the number 153846 which is its double act as cyclic numbers.These 2 account for showing the cyclic nature by multiplying 076923 by the digits from 1 to 12.as shown below-
Multiplying with 1(M-1) results in 076923
M-3 results in 230769
M-4 results in 307692
M-9 results in 692307
M-10 results in 769230
M-12 results in 923076
M-2 results in 153846
M-5 results in 384615
M-6 results in 461538
M-7 results in 538461
M-8 results in 615384
M-11 results in 846153
Like in case of the other cyclic numbers multiplication by 13 will result in all 9's viz  999999.