422438 ÷ 13 
The aim is to understand the frequency of 13 in 422438.

Going ahead to 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.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 13

On to step 2:
When dividing 42 by 13, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 39 away from 42, we end up with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 13

Step 3:
13 can be fit into 32 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 32.0
Subtract 26 from 32 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 13

On to step 4:
If we divide 64 by 13, we get 4 and a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 324.0
Deduct 52 from 64 and we're left with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 13

Step 5:
When dividing 123 by 13, we get 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 3249.0
If we subtract 117 from 123, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 13

Let's proceed to step 6:
13 can be fit into 68 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 32495.0
Deduct 65 from 68 and we're left 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 7:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 32495.2
If we take 26 away from 30, we end up 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.

Going ahead to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 32495.23
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.

Advancing to step 9:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32495.23
If we subtract 0 from 10, 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.

Step 10:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 32495.2307
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.

Going ahead to 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: 32495.23076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 32495.230769
Deduct 117 from 120 and we're left 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.

On to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 32495.2307692
Subtract 26 from 30 to 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 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 32495.23076923
Deduct 39 from 40 and we're left 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.

The final outcome is 32495.23076923, with a leftover of 1e-09.