We're dividing 578594 by 75 
We want to divide 578594 by 75.

Moving on to step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 75

Advancing to step 2:
75 goes into 57 0 times with a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 75

Let's proceed to step 3:
If we divide 578 by 75, we get 7 and a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 525 away from 578, we end up with 53.
Append the next digit (5) from the dividend to 53 and continue with: 535 / 75

Step 4:
535 divided by 75 is 7 with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Subtract 525 from 535 to get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 75

Let's proceed to step 5:
75 goes into 109 1 times with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 771.0
Deduct 75 from 109 and we're left with 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 75

Let's proceed to step 6:
The number 75 fits into 344 4 times, leaving a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 7714.0
If we subtract 300 from 344, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
75 goes into 440 5 times with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 7714.5
Deduct 375 from 440 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 8:
650 divided by 75 is 8 with a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 7714.58
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 7714.586
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 7714.5866
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 7714.5866 with a balance of 0.0005.