827447 ÷ 13 
The aim is to understand the frequency of 13 in 827447.

Moving on to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Let's proceed to step 2:
If we divide 82 by 13, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 4 after subtracting 78 from 82.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 13

Advancing to step 3:
13 can be fit into 47 3 times, resulting in a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we take 39 away from 47, we end up with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

Advancing to step 4:
If we divide 84 by 13, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 636.0
Deduct 78 from 84 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

Step 5:
13 goes into 64 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 6364.0
If we subtract 52 from 64, we get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

Let's proceed to step 6:
13 can be fit into 127 9 times, resulting in a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 63649.0
If we subtract 117 from 127, we 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.

Moving on to step 7:
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: 63649.7
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.

Moving on to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 63649.76
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 number 9 becomes the next digit in our result. 
Result so far: 63649.769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 63649.7692
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.

Going ahead to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 63649.76923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63649.76923
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.

Moving 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: 63649.7692307
Subtracting 91 from 100 leaves us 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:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 63649.76923076
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.

Our division results in 63649.76923076 with a remaining 1.2e-08.