We're dividing 377309 by 13 
The aim is to understand the frequency of 13 in 377309.

Moving on to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 13

Let's proceed to step 2:
37 divided by 13 is 2 with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 26 from 37, we get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 13

Advancing to step 3:
117 divided by 13 is 9 with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 29.0
If we subtract 117 from 117, we get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

Going ahead to step 4:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 290.0
Subtract 0 from 3 to get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 13

Let's proceed to step 5:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 2902.0
The remainder is 4 after subtracting 26 from 30.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

On to step 6:
If we divide 49 by 13, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 29023.0
Subtract 39 from 49 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 29023.7
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 29023.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 29023.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 29023.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 29023.76923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 29023.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 29023.7692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 29023.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 29023.76923076 with a remainder of 1.2e-08.