Let's divide 410111 by 71
We're looking to find how many times 71 goes into 410111.

Moving on to step 1:
71 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 71

Let's proceed to step 2:
41 divided by 71 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 71

On to step 3:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 355 from 410 and we're left with 55.
Include the next digit (1) from the dividend after 55, then repeat: 551 / 71

Advancing to step 4:
If we divide 551 by 71, we get 7 and a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtract 497 from 551 to get 54.
Fetch the next digit (1) from the dividend, attach it to 54 and continue: 541 / 71

Step 5:
71 goes into 541 7 times with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 577.0
The remainder is 44 after subtracting 497 from 541.
Take the next digit (1) from the dividend and append it to 44, then repeat: 441 / 71

Going ahead to step 6:
441 divided by 71 is 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 5776.0
Subtracting 426 from 441 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
The number 71 fits into 150 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 5776.2
If we subtract 142 from 150, 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.

Advancing to step 8:
When dividing 80 by 71, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 5776.21
The remainder is 9 after subtracting 71 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
90 divided by 71 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 5776.211
Deduct 71 from 90 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 5776.211 and a remainder of 0.0019.