421219 ÷ 41 
The aim is to understand the frequency of 41 in 421219.

Moving on to step 1:
41 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 41

Going ahead to step 2:
The number 41 fits into 42 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 41 from 42 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 41

On to step 3:
If we divide 11 by 41, we get 0 and 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.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 41

Moving on to step 4:
The number 41 fits into 112 2 times, leaving a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we subtract 82 from 112, we get 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 41

Going ahead to step 5:
The number 41 fits into 301 7 times, leaving a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 1027.0
The remainder is 14 after subtracting 287 from 301.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 41

Going ahead to step 6:
41 can be fit into 149 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 10273.0
The remainder is 26 after subtracting 123 from 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
If we divide 260 by 41, we get 6 and a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 10273.6
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 10273.63
Subtracting 123 from 140 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 10273.634
Deduct 164 from 170 and we're left 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.

Let's proceed to step 10:
The number 41 fits into 60 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 10273.6341
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
41 goes into 190 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 10273.63414
If we take 164 away from 190, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 10273.634146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
When dividing 140 by 41, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 10273.6341463
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 14:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 10273.63414634
Subtract 164 from 170 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.

The final result is 10273.63414634 with a remainder of 6e-09.