How to check if the number after decimal point of the result of a division goes to infinity? Particularly, is this number any special? I divide a number by a prime number and I observed the division in the below picture. I suspect that the result, quotient, goes to infinity. But how can I check if so? The big calculator showed the same repetitive pattern goes until 90000 digit only as it was apparently limited by the program.
How to check if the number after decimal point of the result of a division goes to infinity?
Also, as you see there is a repetitive pattern in the quotient, which is 473684210526315789. Is there anything mathematically special about this repetition?
Is there any other similar example division that gives a result going to infinity with a pattern like this?
Thank you.


It's not infinity, and it's not a question at all, it's just a rational number which is either integer or number with a repetitive decimal number.
like $\frac{1}{3}=0.33333333333\cdots$, do you think it's infinity??
But if you mean number of decimal points, it's obviously infinite.
