699301 ÷ 13 
The aim is to understand the frequency of 13 in 699301.

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
Subtracting 0 from 6 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Advancing to step 2:
The number 13 fits into 69 5 times, leaving a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 4 after subtracting 65 from 69.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Going ahead to step 3:
13 can be fit into 49 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 39 from 49 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

Let's proceed to step 4:
If we divide 103 by 13, we get 7 and a remainder of 12.
The next digit of our result is 7. 
Result so far: 537.0
Subtracting 91 from 103 leaves us with 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 13

On to step 5:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 5379.0
Deduct 117 from 120 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 13

Advancing to step 6:
The number 13 fits into 31 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 53792.0
Deduct 26 from 31 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 53792.3
If we subtract 39 from 50, we get 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 8:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 53792.38
Subtracting 104 from 110 leaves us 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 9:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 53792.384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 53792.3846
Subtracting 78 from 80 leaves us 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 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 53792.38461
Subtracting 13 from 20 leaves us 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 12:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 53792.384615
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.

Moving on to step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 53792.3846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 53792.38461538
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.

In conclusion, the division gives 53792.38461538 with a balance of 6e-09.