424557 ÷ 13 
The aim is to understand the frequency of 13 in 424557.

Step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 13

Advancing to step 2:
13 can be fit into 42 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 39 from 42 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 13

On to step 3:
13 goes into 34 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtract 26 from 34 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 13

Moving on to step 4:
13 goes into 85 6 times with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 326.0
If we take 78 away from 85, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 13

Step 5:
75 divided by 13 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 3265.0
If we subtract 65 from 75, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 13

Going ahead to step 6:
If we divide 107 by 13, we get 8 and a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 32658.0
If we take 104 away from 107, 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.

Advancing to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 32658.2
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 32658.23
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 32658.23
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.

On to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 32658.2307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 32658.23076
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.

Step 12:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 32658.230769
Subtracting 117 from 120 leaves us 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 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32658.2307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 32658.23076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 32658.23076923 and a remainder of 1e-09.