the remainder either become 0 after a certain stage or start repeating themselves
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The remainders either become 0 after a certain stage, or start repeating themselves. (iii) If the remainders repeat, then we get a repeating block of digits in the quotient (for 1/3 , 3 repeats in the quotient and for 1/7 , we get the repeating block 142857 in the quotient
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