i want decimal expansion of 1/13 in base 12

i have tried the "normal" algorithm but i got nowhere

eg: 1/13 in base 10 is .076923076

so if i want it in base 12 i go

.076923076=a/12 + b/144 + c/1728+ . . .

then mulitiply by the 12

.923076923=a + b/144 + c/1728 + . .

this would tell us the first digit after the decimal would be 0 but when i try to repeat the process

11.07692308 = a + b + c/1728 + . . .

I dont like that 11 is two decimal spaces.. or is it okay since im in base 12??