We look at the division of 684003 by 13 
The aim is to understand the frequency of 13 in 684003.

On to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Let's proceed to step 2:
If we divide 68 by 13, we get 5 and a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

On to step 3:
If we divide 34 by 13, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we take 26 away from 34, we end up with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 13

Step 4:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 526.0
Subtract 78 from 80 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 13

On to step 5:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5261.0
Subtract 13 from 20 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Going ahead to step 6:
When dividing 73 by 13, we get 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 52615.0
Deduct 65 from 73 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.

Let's proceed to step 7:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 52615.6
If we take 78 away from 80, 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.

On to step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 52615.61
Subtract 13 from 20 to 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.

Going ahead to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 52615.615
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 10:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 52615.6153
Deduct 39 from 50 and we're left 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.

Let's proceed to step 11:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 52615.61538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 52615.615384
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.

Moving on to step 13:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 52615.6153846
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.

Let's proceed to step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 52615.61538461
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.

The final outcome is 52615.61538461, with a leftover of 7e-09.