We're dividing 178641 by 41 
The aim is to understand the frequency of 41 in 178641.

Step 1:
41 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 41

Step 2:
If we divide 17 by 41, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (8) from the dividend, add it to 17, then carry on: 178 / 41

Let's proceed to step 3:
41 can be fit into 178 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 164 from 178 leaves us with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 41

Going ahead to step 4:
41 goes into 146 3 times with a remainder of 23.
The next digit of our result is 3. 
Result so far: 43.0
Subtract 123 from 146 to get 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 41

Advancing to step 5:
41 goes into 234 5 times with a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 435.0
The remainder is 29 after subtracting 205 from 234.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 41

On to step 6:
If we divide 291 by 41, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 4357.0
If we subtract 287 from 291, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 4357.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
When dividing 400 by 41, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 4357.09
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 9:
41 goes into 310 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 4357.097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
If we divide 230 by 41, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4357.0975
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 4357.09756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
41 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 4357.09756
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
41 goes into 400 9 times with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 4357.0975609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 14:
If we divide 310 by 41, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 4357.09756097
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final outcome is 4357.09756097, with a leftover of 2.3e-08.