Let's divide 13648 by 42
The aim is to understand the frequency of 42 in 13648.

Step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 42

Going ahead to step 2:
When dividing 13 by 42, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 42

On to step 3:
136 divided by 42 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 126 from 136 to get 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 42

On to step 4:
42 goes into 104 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Deduct 84 from 104 and we're left with 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 42

Advancing to step 5:
42 goes into 208 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 324.0
The remainder is 40 after subtracting 168 from 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
When dividing 400 by 42, we get 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 324.9
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
If we divide 220 by 42, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 324.95
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 324.952
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
If we divide 160 by 42, we get 3 and a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 324.9523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
42 goes into 340 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 324.95238
Subtracting 336 from 340 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.

Moving on to step 11:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 324.95238
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 12:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 324.9523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
42 goes into 220 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 324.95238095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 324.95238095 with a balance of 1e-08.