121284 divided by 42 
The aim is to understand the frequency of 42 in 121284.

Going ahead to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 42

Moving on to step 2:
The number 42 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 42

Advancing to step 3:
42 can be fit into 121 2 times, resulting in a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 37 after subtracting 84 from 121.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 42

Step 4:
When dividing 372 by 42, we get 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 28.0
If we subtract 336 from 372, we get 36.
Append the next digit (8) from the dividend to 36 and continue with: 368 / 42

Step 5:
The number 42 fits into 368 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 288.0
The remainder is 32 after subtracting 336 from 368.
Include the next digit (4) from the dividend after 32, then repeat: 324 / 42

Let's proceed to step 6:
The number 42 fits into 324 7 times, leaving a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 2887.0
If we take 294 away from 324, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 2887.7
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
60 divided by 42 is 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 2887.71
Subtract 42 from 60 to 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 9:
180 divided by 42 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 2887.714
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.

On to step 10:
When dividing 120 by 42, we get 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 2887.7142
If we take 84 away from 120, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 2887.71428
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.

Going ahead to step 12:
42 goes into 240 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2887.714285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
When dividing 300 by 42, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 2887.7142857
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
42 can be fit into 60 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 2887.71428571
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 2887.71428571 and a remainder of 1.8e-08.