226438 ÷ 13 
The aim is to understand the frequency of 13 in 226438.

Advancing to step 1:
2 divided by 13 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Advancing to step 2:
22 divided by 13 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 13 away from 22, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 13

On to step 3:
13 goes into 96 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 91 away from 96, we end up with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 13

Let's proceed to step 4:
The number 13 fits into 54 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 174.0
Subtracting 52 from 54 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

On to step 5:
When dividing 23 by 13, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1741.0
Deduct 13 from 23 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

Advancing to step 6:
The number 13 fits into 108 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 17418.0
If we subtract 104 from 108, 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.

Let's proceed to step 7:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 17418.3
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.

Step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 17418.3
Subtracting 0 from 10 leaves us 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.

Advancing to step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 17418.307
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.

Moving on to step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17418.3076
Subtracting 78 from 90 leaves us 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.

Moving on to step 11:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 17418.30769
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.

Step 12:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 17418.307692
Deduct 26 from 30 and we're left 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 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 17418.3076923
If we subtract 39 from 40, we 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.

Let's proceed to step 14:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 17418.3076923
Subtracting 0 from 10 leaves us 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.

The final result is 17418.3076923 with a remainder of 1e-08.