506509 ÷ 88 
Our goal is to divide 506509 by 88.

Step 1:
5 divided by 88 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 88

On to step 2:
88 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 88

Let's proceed to step 3:
506 divided by 88 is 5 with a remainder of 66.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 440 from 506 to get 66.
Take the next digit (5) from the dividend and append it to 66, then repeat: 665 / 88

Let's proceed to step 4:
88 goes into 665 7 times with a remainder of 49.
Write down 7 as next digit of the result. 
Result so far: 57.0
If we take 616 away from 665, we end up with 49.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 88

Moving on to step 5:
88 can be fit into 490 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 575.0
Subtracting 440 from 490 leaves us with 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 88

Moving on to step 6:
The number 88 fits into 509 5 times, leaving a remainder of 69.
Use 5 as the next digit of our solution. 
Result so far: 5755.0
Subtract 440 from 509 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
690 divided by 88 is 7 with a remainder of 74.
The next digit of our result is 7. 
Result so far: 5755.7
The remainder is 74 after subtracting 616 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 8:
88 goes into 740 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 5755.78
Deduct 704 from 740 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
88 can be fit into 360 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5755.784
The remainder is 8 after subtracting 352 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
If we divide 80 by 88, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 5755.784
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 11:
88 can be fit into 800 9 times, resulting in a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 5755.78409
If we subtract 792 from 800, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
88 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 5755.78409
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 13:
88 can be fit into 800 9 times, resulting in a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 5755.7840909
If we subtract 792 from 800, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
When dividing 80 by 88, we get 0 with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 5755.7840909
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 5755.7840909, with a leftover of 8e-08.