688202 ÷ 13 
The aim is to understand the frequency of 13 in 688202.

Advancing to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 13

Let's proceed to step 2:
13 goes into 68 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 68 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 13

Let's proceed to step 3:
13 can be fit into 38 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Deduct 26 from 38 and we're left with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 13

Step 4:
13 can be fit into 122 9 times, resulting in a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 529.0
If we take 117 away from 122, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 13

Going ahead to step 5:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 5293.0
Subtract 39 from 50 to get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 13

Moving on to step 6:
The number 13 fits into 112 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 52938.0
The remainder is 8 after subtracting 104 from 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 52938.6
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:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 52938.61
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.

Let's proceed to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 52938.615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 52938.6153
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.

Moving on to step 11:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 52938.61538
If we take 104 away from 110, we end up 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.

Moving on to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 52938.615384
If we subtract 52 from 60, we get 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:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 52938.6153846
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.

On to step 14:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 52938.61538461
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.

In conclusion, the division gives 52938.61538461 with a balance of 7e-09.