It is a repeating decimal.
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1/3 does not terminate.
As a decimal, 0.076923 repeating
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
13/22 cannot be expressed as a terminating decimal because the divisor has a factor other that 2 or 5.
1/3, 1/6, 1/7, 1/9, 1/11, 1/12, 1/13, 1/14, 1/15 all have repeating decimal representations, while 1/2, 1/4, 1/5, 1/8, 1/10, and 1/16 have terminating decimal representations.