41071 ÷ 5 
Our goal is to divide 41071 by 5.

Let's proceed to step 1:
5 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 5

Step 2:
5 can be fit into 41 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 40 from 41 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 5

Advancing to step 3:
5 goes into 10 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
The remainder is 0 after subtracting 10 from 10.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 5

On to step 4:
5 goes into 7 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 821.0
If we subtract 5 from 7, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 5

Step 5:
The number 5 fits into 21 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 8214.0
If we take 20 away from 21, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
The number 5 fits into 10 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 8214.2
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
When dividing 0 by 5, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8214.2
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 5, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8214.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 8214.2 with a remainder of 0.0.