We look at the division of 341875 by 41 
Our goal is to divide 341875 by 41.

Moving on to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 41

Going ahead to step 2:
If we divide 34 by 41, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 41

Let's proceed to step 3:
41 can be fit into 341 8 times, resulting in a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 328 from 341, we get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 41

Going ahead to step 4:
41 can be fit into 138 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Subtract 123 from 138 to get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 41

Step 5:
If we divide 157 by 41, we get 3 and a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 833.0
If we subtract 123 from 157, we get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 41

Moving on to step 6:
If we divide 345 by 41, we get 8 and a remainder of 17.
The next digit of our result is 8. 
Result so far: 8338.0
If we take 328 away from 345, we end up 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 7:
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: 8338.4
If we subtract 164 from 170, we 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.

Advancing to step 8:
41 goes into 60 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 8338.41
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.

Moving on to step 9:
When dividing 190 by 41, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 8338.414
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 10:
41 goes into 260 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 8338.4146
Subtracting 246 from 260 leaves us 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.

Let's proceed to step 11:
140 divided by 41 is 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 8338.41463
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.

Moving on to step 12:
When dividing 170 by 41, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 8338.414634
If we take 164 away from 170, we end up 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.

On to step 13:
60 divided by 41 is 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8338.4146341
Subtract 41 from 60 to get 19.
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 14:
When dividing 190 by 41, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 8338.41463414
Deduct 164 from 190 and we're left 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.

In conclusion, the division gives 8338.41463414 with a balance of 2.6e-08.