4311 ÷ 42 
The aim is to understand the frequency of 42 in 4311.

Going ahead to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 42

Moving on to step 2:
The number 42 fits into 43 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 42 from 43 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 42

On to step 3:
42 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 42

Step 4:
If we divide 111 by 42, we get 2 and a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 84 from 111 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 5:
42 goes into 270 6 times with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 102.6
If we subtract 252 from 270, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 6:
180 divided by 42 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 102.64
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 102.642
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
When dividing 360 by 42, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 102.6428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
42 goes into 240 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 102.64285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 42 is 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 102.642857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 42, we get 1 and a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 102.6428571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 102.64285714
Subtract 168 from 180 to 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.

The final result is 102.64285714 with a remainder of 1.2e-08.