153072 ÷ 13 
The aim is to understand the frequency of 13 in 153072.

Advancing to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Advancing to step 2:
13 goes into 15 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 15, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Step 3:
The number 13 fits into 23 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 13 from 23 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

On to step 4:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 117.0
Subtract 91 from 100 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 13

Going ahead to step 5:
If we divide 97 by 13, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 1177.0
Deduct 91 from 97 and we're left with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 13

On to step 6:
13 can be fit into 62 4 times, resulting in a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 11774.0
The remainder is 10 after subtracting 52 from 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
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: 11774.7
If we take 91 away from 100, we end up 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.

Advancing to step 8:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 11774.76
If we take 78 away from 90, we end up 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 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 11774.769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11774.7692
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.

Advancing to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 11774.76923
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 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 11774.76923
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 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 11774.7692307
If we take 91 away from 100, we end up 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.

On to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 11774.76923076
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.

After the division, we end up with 11774.76923076 and a remainder of 1.2e-08.