We divide 509023 by 88
We're looking to find how many times 88 goes into 509023.

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
Subtracting 0 from 5 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 88

Let's proceed to step 2:
88 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 88

Advancing to step 3:
88 can be fit into 509 5 times, resulting in 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.
Fetch the next digit (0) from the dividend, attach it to 69 and continue: 690 / 88

Let's proceed to step 4:
88 goes into 690 7 times with a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 616 from 690 leaves us with 74.
Append the next digit (2) from the dividend to 74 and continue with: 742 / 88

Advancing to step 5:
742 divided by 88 is 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 578.0
Deduct 704 from 742 and we're left with 38.
Include the next digit (3) from the dividend after 38, then repeat: 383 / 88

Moving on to step 6:
88 goes into 383 4 times with a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 5784.0
If we take 352 away from 383, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 88 fits into 310 3 times, leaving a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 5784.3
Subtract 264 from 310 to 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.

Step 8:
88 can be fit into 460 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 5784.35
Subtract 440 from 460 to 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.

On to step 9:
88 goes into 200 2 times with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 5784.352
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.

On to step 10:
88 can be fit into 240 2 times, resulting in a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 5784.3522
Subtract 176 from 240 to get 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 5784.3522 and a remainder of 0.00064.