577993 ÷ 87 
We want to divide 577993 by 87.

Going ahead to step 1:
87 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 87

Moving on to step 2:
When dividing 57 by 87, we get 0 with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Take the next digit (7) from the dividend and append it to 57, then repeat: 577 / 87

On to step 3:
87 goes into 577 6 times with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 522 from 577, we get 55.
Grab the next digit (9) from the dividend, add it to 55, then carry on: 559 / 87

On to step 4:
The number 87 fits into 559 6 times, leaving a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 522 from 559, we get 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 87

Advancing to step 5:
The number 87 fits into 379 4 times, leaving a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 664.0
If we take 348 away from 379, we end up with 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 87

Moving on to step 6:
The number 87 fits into 313 3 times, leaving a remainder of 52.
The next digit of our result is 3. 
Result so far: 6643.0
Deduct 261 from 313 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
When dividing 520 by 87, we get 5 with a remainder of 85.
Use 5 as the next digit of our solution. 
Result so far: 6643.5
Subtracting 435 from 520 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 8:
The number 87 fits into 850 9 times, leaving a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 6643.59
The remainder is 67 after subtracting 783 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 9:
The number 87 fits into 670 7 times, leaving a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 6643.597
Subtract 609 from 670 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 10:
When dividing 610 by 87, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6643.5977
If we subtract 609 from 610, we 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.

In conclusion, the division gives 6643.5977 with a balance of 1e-05.