We're dividing 573674 by 13 
The aim is to understand the frequency of 13 in 573674.

Let's proceed to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 13

Let's proceed to step 2:
57 divided by 13 is 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 52 from 57, we get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 13

On to step 3:
If we divide 53 by 13, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 44.0
If we subtract 52 from 53, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Step 4:
16 divided by 13 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 441.0
If we subtract 13 from 16, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Step 5:
When dividing 37 by 13, we get 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 4412.0
Deduct 26 from 37 and we're left with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 13

On to step 6:
The number 13 fits into 114 8 times, leaving a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 44128.0
Subtracting 104 from 114 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.

Going ahead to step 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 44128.7
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.

On to step 8:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 44128.76
The remainder is 12 after subtracting 78 from 90.
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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 44128.769
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 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 44128.7692
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.

On to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 44128.76923
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 12:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 44128.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 44128.7692307
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.

Advancing to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 44128.76923076
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.

The final result is 44128.76923076 with a remainder of 1.2e-08.