We're dividing 341405 by 41 
Our goal is to divide 341405 by 41.

Let's proceed to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 41

Advancing to step 2:
If we divide 34 by 41, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 41

Going ahead to step 3:
If we divide 341 by 41, we get 8 and a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 13 after subtracting 328 from 341.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 41

Going ahead to step 4:
When dividing 134 by 41, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Subtracting 123 from 134 leaves us with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 41

On to step 5:
41 goes into 110 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 832.0
Subtract 82 from 110 to get 28.
Grab the next digit (5) from the dividend, add it to 28, then carry on: 285 / 41

Advancing to step 6:
If we divide 285 by 41, we get 6 and a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 8326.0
Deduct 246 from 285 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
When dividing 390 by 41, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8326.9
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
210 divided by 41 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8326.95
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
If we divide 50 by 41, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8326.951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 8326.9512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 8326.95121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
41 goes into 390 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 8326.951219
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 13:
If we divide 210 by 41, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8326.9512195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
If we divide 50 by 41, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 8326.95121951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 8326.95121951 and a remainder of 9e-09.