34131 divided by 13 
The aim is to understand the frequency of 13 in 34131.

Step 1:
13 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

On to step 2:
34 divided by 13 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 26 from 34, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 13

Advancing to step 3:
When dividing 81 by 13, we get 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtract 78 from 81 to get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Moving on to step 4:
When dividing 33 by 13, we get 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 262.0
Deduct 26 from 33 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

Going ahead to step 5:
13 can be fit into 71 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 2625.0
If we subtract 65 from 71, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 2625.4
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 2625.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 2625.461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 2625.4615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 2625.46153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 2625.461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 2625.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 2625.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 2625.46153846 and a remainder of 2e-09.