Express7/13 as a repeating decimal

To express 7/13 as a repeating decimal, we need to perform long division.

Let's start by dividing 7 by 13:

```
0.538461538461...
______________
13 | 7.0000000
6.5
________
500
494
________
60
52
________
80
78
________
20
13
________
70
65
________
50
39
_________
110
104
__________
60
52
__________
80
78
__________
20
```

As we can see, the pattern 538461 repeats. Therefore, 7/13 as a repeating decimal is approximately 0.538461538461...