You know that 1/7 = 0.142857 bar . Can you predict what the decimal expansion of 2/7 , 3/7 ,4/7 , 5/7 and 6/ 7 are, without actually doing the long division? If so, how?

Question 2 You know that 1/7 = 0.142857 bar . Can you predict what the decimal expansion of 2/7 , 3/7  ,4/7  , 5/7 and  6/ 7 are, without actually doing the long division? If so, how?
[Hint: Study the remainders while finding the value of 1/7 carefully.]
Solution:

decimal expansion of 2/7 , 3/7 ,4/7 , 5/7 and 6/ 7