228214 ÷ 13 
The aim is to understand the frequency of 13 in 228214.

Let's proceed to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 13

On to step 2:
13 can be fit into 22 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 9 after subtracting 13 from 22.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

Advancing to step 3:
13 can be fit into 98 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 91 away from 98, we end up with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Let's proceed to step 4:
If we divide 72 by 13, we get 5 and a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Deduct 65 from 72 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Moving on to step 5:
13 goes into 71 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 1755.0
If we take 65 away from 71, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

Moving on to step 6:
When dividing 64 by 13, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 17554.0
Subtract 52 from 64 to 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 7:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 17554.9
If we subtract 117 from 120, we get 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 8:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 17554.92
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.

Moving on to step 9:
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: 17554.923
Subtract 39 from 40 to 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 10:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 17554.923
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.

Let's proceed to step 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 17554.92307
Subtract 91 from 100 to 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.

On to step 12:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 17554.923076
Deduct 78 from 90 and we're left 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.

Going ahead to step 13:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 17554.9230769
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.

Moving on to step 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17554.92307692
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.

The final result is 17554.92307692 with a remainder of 4e-09.