We look at the division of 573643 by 87 
We want to divide 573643 by 87.

Going ahead to step 1:
87 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 87

Let's proceed to step 2:
When dividing 57 by 87, we get 0 with a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Include the next digit (3) from the dividend after 57, then repeat: 573 / 87

On to step 3:
573 divided by 87 is 6 with a remainder of 51.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 522 away from 573, we end up with 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 87

Going ahead to step 4:
When dividing 516 by 87, we get 5 with a remainder of 81.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Deduct 435 from 516 and we're left with 81.
Take the next digit (4) from the dividend and append it to 81, then repeat: 814 / 87

On to step 5:
814 divided by 87 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 659.0
Subtracting 783 from 814 leaves us with 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 87

Going ahead to step 6:
87 goes into 313 3 times with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 6593.0
Subtract 261 from 313 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
87 goes into 520 5 times with a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 6593.5
If we subtract 435 from 520, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 8:
850 divided by 87 is 9 with a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 6593.59
If we take 783 away from 850, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 9:
670 divided by 87 is 7 with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 6593.597
The remainder is 61 after subtracting 609 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 10:
If we divide 610 by 87, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6593.5977
Subtract 609 from 610 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 6593.5977 with a remaining 1e-05.