We look at the division of 411682 by 13 
The aim is to understand the frequency of 13 in 411682.

Step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

Let's proceed to step 2:
13 goes into 41 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 39 away from 41, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

On to step 3:
When dividing 21 by 13, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 31.0
The remainder is 8 after subtracting 13 from 21.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 13

Going ahead to step 4:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 316.0
Deduct 78 from 86 and we're left with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 13

Going ahead to step 5:
The number 13 fits into 88 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 3166.0
Subtract 78 from 88 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 13

On to step 6:
If we divide 102 by 13, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 31667.0
Subtracting 91 from 102 leaves us 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.

Advancing to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 31667.8
If we subtract 104 from 110, 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.

Step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 31667.84
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 31667.846
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.

Going ahead to step 10:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 31667.8461
The remainder is 7 after subtracting 13 from 20.
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 11:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31667.84615
If we take 65 away from 70, we end up 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.

Step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 31667.846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 31667.8461538
Subtract 104 from 110 to 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.

Let's proceed to step 14:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 31667.84615384
Deduct 52 from 60 and we're left 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.

In conclusion, the division gives 31667.84615384 with a balance of 8e-09.