Let's divide 541864 by 71
Our goal is to divide 541864 by 71.

Moving on to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 71

Let's proceed to step 2:
71 can be fit into 54 0 times, resulting in a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 71

Advancing to step 3:
The number 71 fits into 541 7 times, leaving a remainder of 44.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 497 from 541, we get 44.
Fetch the next digit (8) from the dividend, attach it to 44 and continue: 448 / 71

Moving on to step 4:
71 can be fit into 448 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Deduct 426 from 448 and we're left with 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 71

Step 5:
71 goes into 226 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 763.0
Subtract 213 from 226 to get 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 71

Let's proceed to step 6:
The number 71 fits into 134 1 times, leaving a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 7631.0
Subtracting 71 from 134 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 7:
71 can be fit into 630 8 times, resulting in a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 7631.8
Subtracting 568 from 630 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 8:
When dividing 620 by 71, we get 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 7631.88
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 7631.88 with a balance of 0.052.