41543 ÷ 71 
We want to divide 41543 by 71.

Step 1:
4 divided by 71 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 71

Step 2:
71 can be fit into 41 0 times, resulting in 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.
Include the next digit (5) from the dividend after 41, then repeat: 415 / 71

Moving on to step 3:
When dividing 415 by 71, we get 5 with a remainder of 60.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 355 from 415 leaves us with 60.
Include the next digit (4) from the dividend after 60, then repeat: 604 / 71

Let's proceed to step 4:
71 goes into 604 8 times with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we take 568 away from 604, we end up with 36.
Take the next digit (3) from the dividend and append it to 36, then repeat: 363 / 71

Step 5:
71 can be fit into 363 5 times, resulting in a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 585.0
Deduct 355 from 363 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 6:
If we divide 80 by 71, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 585.1
Subtracting 71 from 80 leaves us 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.

Going ahead to step 7:
90 divided by 71 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 585.11
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.

In conclusion, the division gives 585.11 with a balance of 0.019.