261417 ÷ 41 
The aim is to understand the frequency of 41 in 261417.

On to step 1:
41 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 41

On to step 2:
41 goes into 26 0 times with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 41

Step 3:
41 can be fit into 261 6 times, resulting in a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 246 from 261 leaves us with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 41

On to step 4:
If we divide 154 by 41, we get 3 and a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
The remainder is 31 after subtracting 123 from 154.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 41

Going ahead to step 5:
311 divided by 41 is 7 with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 637.0
Subtracting 287 from 311 leaves us with 24.
Grab the next digit (7) from the dividend, add it to 24, then carry on: 247 / 41

Going ahead to step 6:
The number 41 fits into 247 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6376.0
If we take 246 away from 247, 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.

Moving on to step 7:
41 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6376.0
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.

Moving on to step 8:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 6376.02
If we take 82 away from 100, 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.

Step 9:
If we divide 180 by 41, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 6376.024
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
The number 41 fits into 160 3 times, leaving a remainder of 37.
The next digit of our result is 3. 
Result so far: 6376.0243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
When dividing 370 by 41, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 6376.02439
Subtracting 369 from 370 leaves us 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.

Going ahead to step 12:
If we divide 10 by 41, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6376.02439
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
When dividing 100 by 41, we get 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 6376.0243902
Subtract 82 from 100 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.

Advancing to step 14:
180 divided by 41 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6376.02439024
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.

In conclusion, the division gives 6376.02439024 with a balance of 1.6e-08.