We're dividing 226160 by 13 
The aim is to understand the frequency of 13 in 226160.

On to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 13

Going ahead to step 2:
22 divided by 13 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 13 from 22 and we're left with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 13

Advancing to step 3:
The number 13 fits into 96 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 91 away from 96, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Let's proceed to step 4:
51 divided by 13 is 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 173.0
If we subtract 39 from 51, we get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 13

Going ahead to step 5:
If we divide 126 by 13, we get 9 and a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 1739.0
The remainder is 9 after subtracting 117 from 126.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

Let's proceed to step 6:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 17396.0
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.

Moving on to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 17396.9
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.

Advancing to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 17396.92
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.

Step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 17396.923
Subtracting 39 from 40 leaves us 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 10:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17396.923
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.

Advancing to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 17396.92307
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.

Step 12:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17396.923076
If we take 78 away from 90, we end up 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.

Step 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 17396.9230769
The remainder is 3 after subtracting 117 from 120.
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 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 17396.92307692
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.

Our division results in 17396.92307692 with a remaining 4e-09.