825143 ÷ 13 
The aim is to understand the frequency of 13 in 825143.

Moving on to 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
Subtract 0 from 8 to get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 13

Let's proceed to step 2:
When dividing 82 by 13, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 78 away from 82, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Step 3:
45 divided by 13 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 39 from 45 and we're left with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 13

Step 4:
When dividing 61 by 13, we get 4 with a remainder of 9.
The next digit of our result is 4. 
Result so far: 634.0
Deduct 52 from 61 and we're left with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

On to step 5:
If we divide 94 by 13, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6347.0
If we subtract 91 from 94, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Step 6:
33 divided by 13 is 2 with a remainder of 7.
The next digit of our result is 2. 
Result so far: 63472.0
Subtract 26 from 33 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.

Moving on to step 7:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 63472.5
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.

Moving on to step 8:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 63472.53
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.

Going ahead to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 63472.538
The remainder is 6 after subtracting 104 from 110.
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 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 63472.5384
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.

Let's proceed to step 11:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 63472.53846
Subtracting 78 from 80 leaves us 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 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 63472.538461
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.

Advancing to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 63472.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 63472.53846153
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.

The final result is 63472.53846153 with a remainder of 1.1e-08.