34165 ÷ 41 
We want to divide 34165 by 41.

Moving on to step 1:
41 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our 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

Moving on to step 2:
When dividing 34 by 41, we get 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 41

Step 3:
When dividing 341 by 41, we get 8 with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 328 from 341 and we're left with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 41

Advancing to step 4:
When dividing 136 by 41, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
If we take 123 away from 136, we end up with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 41

Let's proceed to step 5:
The number 41 fits into 135 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 833.0
The remainder is 12 after subtracting 123 from 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 6:
41 can be fit into 120 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 833.2
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
When dividing 380 by 41, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 833.29
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
41 can be fit into 110 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 833.292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
41 goes into 280 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 833.2926
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
When dividing 340 by 41, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 833.29268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
41 goes into 120 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 833.292682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
When dividing 380 by 41, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 833.2926829
Subtract 369 from 380 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 833.29268292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 833.29268292 with a remaining 2.8e-08.