We're dividing 530025 by 13 
The aim is to understand the frequency of 13 in 530025.

Going ahead to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 13

Advancing to step 2:
13 goes into 53 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 52 from 53 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 13

On to step 3:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
Subtract 0 from 10 to get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Let's proceed to step 4:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 407.0
Subtract 91 from 100 to get 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 13

Moving on to step 5:
13 goes into 92 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 4077.0
If we subtract 91 from 92, we get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 13

Moving on to step 6:
When dividing 15 by 13, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 40771.0
If we take 13 away from 15, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 40771.1
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 40771.15
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 40771.153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 40771.1538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 40771.15384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 40771.153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 40771.1538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 40771.15384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 40771.15384615 with a remaining 5e-09.