Let's divide 41105 by 71
We want to divide 41105 by 71.

Going ahead to step 1:
71 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 71

Step 2:
71 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 71

Step 3:
411 divided by 71 is 5 with a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 355 from 411 and we're left with 56.
Include the next digit (0) from the dividend after 56, then repeat: 560 / 71

Advancing to step 4:
When dividing 560 by 71, we get 7 with a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 57.0
The remainder is 63 after subtracting 497 from 560.
Grab the next digit (5) from the dividend, add it to 63, then carry on: 635 / 71

Advancing to step 5:
The number 71 fits into 635 8 times, leaving a remainder of 67.
The number 8 becomes the next digit in our result. 
Result so far: 578.0
The remainder is 67 after subtracting 568 from 635.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 6:
71 goes into 670 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 578.9
Subtract 639 from 670 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.

Going ahead to step 7:
71 goes into 310 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 578.94
Subtract 284 from 310 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 578.943
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 9:
71 goes into 470 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 578.9436
Deduct 426 from 470 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
The number 71 fits into 440 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 578.94366
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 578.94366 with a remainder of 1.4e-05.