163648 ÷ 13 
The aim is to understand the frequency of 13 in 163648.

On to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 13

Advancing to step 2:
13 can be fit into 16 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 13 from 16, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Moving on to step 3:
33 divided by 13 is 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 26 away from 33, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 13

Moving on to step 4:
13 goes into 76 5 times with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
Subtracting 65 from 76 leaves us with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Moving on to step 5:
13 goes into 114 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 1258.0
Subtracting 104 from 114 leaves us 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 number 8 becomes the next digit in our result. 
Result so far: 12588.0
Subtracting 104 from 108 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 12588.3
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:
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: 12588.3
Deduct 0 from 10 and we're left with 10.
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 9:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 12588.307
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.

Going ahead to step 10:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 12588.3076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 12588.30769
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.

Advancing to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12588.307692
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.

Step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 12588.3076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
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: 12588.3076923
If we subtract 0 from 10, we 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.

The final outcome is 12588.3076923, with a leftover of 1e-08.