We look at the division of 803594 by 13 
The aim is to understand the frequency of 13 in 803594.

Going ahead to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Step 2:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 78 from 80 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Let's proceed to step 3:
When dividing 23 by 13, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 13 from 23 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 13

On to step 4:
13 goes into 105 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 618.0
Subtracting 104 from 105 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 13

Let's proceed to step 5:
13 can be fit into 19 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 6181.0
Deduct 13 from 19 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

On to step 6:
64 divided by 13 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 61814.0
Subtracting 52 from 64 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 7:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 61814.9
If we take 117 away from 120, we end up 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.

Going ahead to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 61814.92
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.

Advancing to step 9:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 61814.923
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.

Moving on to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 61814.923
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.

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: 61814.92307
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.

Let's proceed to step 12:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 61814.923076
If we subtract 78 from 90, we 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.

Advancing to step 13:
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: 61814.9230769
Subtract 117 from 120 to 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 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 61814.92307692
The remainder is 4 after subtracting 26 from 30.
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 61814.92307692 with a remainder of 4e-09.