Answer:
2.54166...
Explanation:
Long division is taught a number of different ways. The method I learned is shown in the attachment. You can see that the dividend repeats, so the quotient digits will be repeating 6s.
You find a quotient digit (often, by trial and error), then subtract the result of multiplying that by the divisor. This gives a new dividend and the process starts over. Line up the digits so everything keeps the appropriate place value. (Neatness counts.)