727718 divided by 13 
The aim is to understand the frequency of 13 in 727718.

Step 1:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 13

Advancing to step 2:
13 goes into 72 5 times with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 72 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

On to step 3:
13 goes into 77 5 times with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Deduct 65 from 77 and we're left with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 13

Going ahead to step 4:
13 can be fit into 127 9 times, resulting in a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 559.0
The remainder is 10 after subtracting 117 from 127.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 13

Going ahead to step 5:
13 goes into 101 7 times with a remainder of 10.
The next digit of our result is 7. 
Result so far: 5597.0
If we take 91 away from 101, we end up with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

Moving on to step 6:
The number 13 fits into 108 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 55978.0
The remainder is 4 after subtracting 104 from 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 55978.3
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 55978.3
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.

Step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 55978.307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 55978.3076
Subtracting 78 from 90 leaves us 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.

Let's proceed to step 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 55978.30769
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.

Going ahead to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 55978.307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 55978.3076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 55978.3076923
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.

Our division results in 55978.3076923 with a remaining 1e-08.