We look at the division of 575939 by 87 
We want to divide 575939 by 87.

Going ahead to step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 87

Going ahead to step 2:
87 can be fit into 57 0 times, resulting in a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 57, we end up with 57.
Bring next digit (5) of the dividend behind the 57 and repeat the process: 575 / 87

Going ahead to step 3:
If we divide 575 by 87, we get 6 and a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 522 from 575 leaves us with 53.
Append the next digit (9) from the dividend to 53 and continue with: 539 / 87

Step 4:
If we divide 539 by 87, we get 6 and a remainder of 17.
The next digit of our result is 6. 
Result so far: 66.0
Deduct 522 from 539 and we're left with 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 87

Advancing to step 5:
87 goes into 173 1 times with a remainder of 86.
Write down 1 as next digit of the result. 
Result so far: 661.0
Subtract 87 from 173 to get 86.
Bring next digit (9) of the dividend behind the 86 and repeat the process: 869 / 87

Going ahead to step 6:
87 can be fit into 869 9 times, resulting in a remainder of 86.
Write down 9 as next digit of the result. 
Result so far: 6619.0
Subtract 783 from 869 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 7:
The number 87 fits into 860 9 times, leaving a remainder of 77.
Write down 9 as next digit of the result. 
Result so far: 6619.9
If we take 783 away from 860, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 8:
The number 87 fits into 770 8 times, leaving a remainder of 74.
The next digit of our result is 8. 
Result so far: 6619.98
Subtract 696 from 770 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 9:
When dividing 740 by 87, we get 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 6619.988
If we subtract 696 from 740, 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.

The final outcome is 6619.988, with a leftover of 0.0044.