We look at the division of 581192 by 13 
The aim is to understand the frequency of 13 in 581192.

Let's proceed to step 1:
5 divided by 13 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Going ahead to step 2:
13 can be fit into 58 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 58, we end up with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 13

Moving on to step 3:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we subtract 52 from 61, we get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 13

On to step 4:
13 can be fit into 91 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 447.0
Subtracting 91 from 91 leaves us with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 13

Advancing to step 5:
If we divide 9 by 13, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 4470.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 13

Advancing to step 6:
13 goes into 92 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 44707.0
Subtracting 91 from 92 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.

Moving on to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 44707.0
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.

Going ahead to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 44707.07
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.

On to step 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 44707.076
Subtract 78 from 90 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.

Moving on to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 44707.0769
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.

Advancing to step 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 44707.07692
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.

Advancing to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 44707.076923
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.

Moving on to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 44707.076923
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.

Going ahead to step 14:
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: 44707.07692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 44707.07692307 with a remaining 9e-09.