Let's divide 128569 by 42
The aim is to understand the frequency of 42 in 128569.

Going ahead to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 42

Let's proceed to step 2:
The number 42 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 42

Advancing to step 3:
When dividing 128 by 42, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 2 after subtracting 126 from 128.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 42

On to step 4:
When dividing 25 by 42, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtract 0 from 25 to get 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 42

Going ahead to step 5:
42 can be fit into 256 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 306.0
The remainder is 4 after subtracting 252 from 256.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 42

Let's proceed to step 6:
When dividing 49 by 42, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 3061.0
Subtract 42 from 49 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
42 goes into 70 1 times with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 3061.1
If we subtract 42 from 70, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
If we divide 280 by 42, we get 6 and a remainder of 28.
The next digit of our result is 6. 
Result so far: 3061.16
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
When dividing 280 by 42, we get 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 3061.166
Subtract 252 from 280 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 3061.166, and the remainder is 0.0028.