274021 ÷ 41 
The aim is to understand the frequency of 41 in 274021.

Step 1:
2 divided by 41 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 41

Advancing to step 2:
When dividing 27 by 41, we get 0 with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 41

Let's proceed to step 3:
When dividing 274 by 41, we get 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 28 after subtracting 246 from 274.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 41

Let's proceed to step 4:
If we divide 280 by 41, we get 6 and a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtract 246 from 280 to get 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 41

On to step 5:
If we divide 342 by 41, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 668.0
If we subtract 328 from 342, we get 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 41

Step 6:
The number 41 fits into 141 3 times, leaving a remainder of 18.
The next digit of our result is 3. 
Result so far: 6683.0
If we take 123 away from 141, 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.

Advancing to step 7:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6683.4
Subtract 164 from 180 to 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.

Moving on to step 8:
When dividing 160 by 41, we get 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 6683.43
Subtracting 123 from 160 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 9:
When dividing 370 by 41, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6683.439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6683.439
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 6683.43902
The remainder is 18 after subtracting 82 from 100.
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:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 6683.439024
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
If we divide 160 by 41, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 6683.4390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 14:
The number 41 fits into 370 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 6683.43902439
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 6683.43902439, and the remainder is 1e-09.