123411 ÷ 13 
The aim is to understand the frequency of 13 in 123411.

Advancing to step 1:
1 divided by 13 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

Moving on to step 2:
If we divide 12 by 13, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Step 3:
When dividing 123 by 13, we get 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 117 from 123 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

Step 4:
64 divided by 13 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 94.0
If we take 52 away from 64, we end up with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 13

Going ahead to step 5:
The number 13 fits into 121 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 949.0
If we subtract 117 from 121, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Going ahead to step 6:
41 divided by 13 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 9493.0
The remainder is 2 after subtracting 39 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 9493.1
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 9493.15
Subtract 65 from 70 to 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.

On to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 9493.153
Deduct 39 from 50 and we're left 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.

Step 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 9493.1538
Deduct 104 from 110 and we're left 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 11:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 9493.15384
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.

Going ahead to step 12:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 9493.153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 9493.1538461
Subtract 13 from 20 to 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.

Advancing to step 14:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 9493.15384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 9493.15384615 with a remainder of 5e-09.