We look at the division of 600003 by 13 
The aim is to understand the frequency of 13 in 600003.

On to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 13

On to step 2:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 8 after subtracting 52 from 60.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 13

Moving on to step 3:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we take 78 away from 80, we end up with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

On to step 4:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 461.0
If we subtract 13 from 20, we get 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 13

Advancing to step 5:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4615.0
If we take 65 away from 70, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 13

Step 6:
13 goes into 53 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 46154.0
Subtracting 52 from 53 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.

Going ahead to step 7:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 46154.0
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.

Step 8:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 46154.07
Deduct 91 from 100 and we're left 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.

Let's proceed to step 9:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 46154.076
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.

On to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 46154.0769
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 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: 46154.07692
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.

Let's proceed to step 12:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 46154.076923
If we subtract 39 from 40, we 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.

Advancing to step 13:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 46154.076923
Subtract 0 from 10 to 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:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 46154.07692307
Deduct 91 from 100 and we're left 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.

In conclusion, the division gives 46154.07692307 with a balance of 9e-09.