Let's divide 882814 by 13
The aim is to understand the frequency of 13 in 882814.

Step 1:
13 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 13

Going ahead to step 2:
88 divided by 13 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 78 away from 88, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 13

Going ahead to step 3:
If we divide 102 by 13, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we take 91 away from 102, we end up with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 13

Let's proceed to step 4:
If we divide 118 by 13, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 679.0
The remainder is 1 after subtracting 117 from 118.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Moving on to step 5:
11 divided by 13 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 6790.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 13

Step 6:
When dividing 114 by 13, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 67908.0
The remainder is 10 after subtracting 104 from 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67908.7
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.

Step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 67908.76
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:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 67908.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 67908.7692
If we subtract 26 from 30, we 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.

Advancing to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 67908.76923
Subtract 39 from 40 to 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.

Step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 67908.76923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 67908.7692307
If we take 91 away from 100, we end up 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.

On to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 67908.76923076
Deduct 78 from 90 and we're left with 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 67908.76923076 with a remainder of 1.2e-08.