We're dividing 588902 by 87 
Our goal is to divide 588902 by 87.

Step 1:
The number 87 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 87

Step 2:
When dividing 58 by 87, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Include the next digit (8) from the dividend after 58, then repeat: 588 / 87

Moving on to step 3:
87 goes into 588 6 times with a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 522 from 588 to get 66.
Bring next digit (9) of the dividend behind the 66 and repeat the process: 669 / 87

Advancing to step 4:
87 can be fit into 669 7 times, resulting in a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we subtract 609 from 669, we get 60.
Include the next digit (0) from the dividend after 60, then repeat: 600 / 87

Going ahead to step 5:
The number 87 fits into 600 6 times, leaving a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 676.0
The remainder is 78 after subtracting 522 from 600.
Take the next digit (2) from the dividend and append it to 78, then repeat: 782 / 87

On to step 6:
87 goes into 782 8 times with a remainder of 86.
Use 8 as the next digit of our solution. 
Result so far: 6768.0
Subtract 696 from 782 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.

Moving on to step 7:
860 divided by 87 is 9 with a remainder of 77.
The number 9 becomes the next digit in our result. 
Result so far: 6768.9
Subtract 783 from 860 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 8:
87 can be fit into 770 8 times, resulting in a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 6768.98
Subtracting 696 from 770 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 9:
87 goes into 740 8 times with a remainder of 44.
The next digit of our result is 8. 
Result so far: 6768.988
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 result is 6768.988 with a remainder of 0.0044.