Let's divide 578800 by 71
Let's see how many times 71 fits into 578800.

Going ahead to step 1:
5 divided by 71 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 71

Going ahead to step 2:
71 can be fit into 57 0 times, resulting in a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 71

Moving on to step 3:
71 can be fit into 578 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 568 from 578 leaves us with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 71

Moving on to step 4:
The number 71 fits into 108 1 times, leaving a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Deduct 71 from 108 and we're left with 37.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 71

Let's proceed to step 5:
71 can be fit into 370 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 815.0
Subtract 355 from 370 to get 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 71

Step 6:
When dividing 150 by 71, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8152.0
Subtract 142 from 150 to 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.

Let's proceed to step 7:
80 divided by 71 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8152.1
Deduct 71 from 80 and we're left 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 8:
When dividing 90 by 71, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 8152.11
Subtract 71 from 90 to get 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 8152.11 with a balance of 0.019.