Let's divide 509331 by 88
Our goal is to divide 509331 by 88.

Step 1:
5 divided by 88 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 88

Moving on to step 2:
If we divide 50 by 88, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Grab the next digit (9) from the dividend, add it to 50, then carry on: 509 / 88

Moving on to step 3:
The number 88 fits into 509 5 times, leaving a remainder of 69.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 440 from 509, we get 69.
Take the next digit (3) from the dividend and append it to 69, then repeat: 693 / 88

Let's proceed to step 4:
693 divided by 88 is 7 with a remainder of 77.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 616 from 693 leaves us with 77.
Fetch the next digit (3) from the dividend, attach it to 77 and continue: 773 / 88

Moving on to step 5:
When dividing 773 by 88, we get 8 with a remainder of 69.
Use 8 as the next digit of our solution. 
Result so far: 578.0
The remainder is 69 after subtracting 704 from 773.
Bring next digit (1) of the dividend behind the 69 and repeat the process: 691 / 88

Let's proceed to step 6:
88 goes into 691 7 times with a remainder of 75.
The next digit of our result is 7. 
Result so far: 5787.0
If we take 616 away from 691, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 7:
88 goes into 750 8 times with a remainder of 46.
The next digit of our result is 8. 
Result so far: 5787.8
If we subtract 704 from 750, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
88 goes into 460 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 5787.85
If we subtract 440 from 460, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
200 divided by 88 is 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 5787.852
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
If we divide 240 by 88, we get 2 and a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 5787.8522
Deduct 176 from 240 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 5787.8522 and a remainder of 0.00064.