We're dividing 508328 by 88 
We're looking to find how many times 88 goes into 508328.

Advancing to step 1:
If we divide 5 by 88, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 88

Advancing to step 2:
88 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (8) from the dividend and append it to 50, then repeat: 508 / 88

Moving on to step 3:
508 divided by 88 is 5 with a remainder of 68.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 440 away from 508, we end up with 68.
Fetch the next digit (3) from the dividend, attach it to 68 and continue: 683 / 88

Going ahead to step 4:
88 goes into 683 7 times with a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Deduct 616 from 683 and we're left with 67.
Bring next digit (2) of the dividend behind the 67 and repeat the process: 672 / 88

Advancing to step 5:
88 goes into 672 7 times with a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 577.0
Deduct 616 from 672 and we're left with 56.
Include the next digit (8) from the dividend after 56, then repeat: 568 / 88

Let's proceed to step 6:
The number 88 fits into 568 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 5776.0
The remainder is 40 after subtracting 528 from 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
The number 88 fits into 400 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 5776.4
Subtract 352 from 400 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
The number 88 fits into 480 5 times, leaving a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 5776.45
Deduct 440 from 480 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
When dividing 400 by 88, we get 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 5776.454
The remainder is 48 after subtracting 352 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
The number 88 fits into 480 5 times, leaving a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 5776.4545
The remainder is 40 after subtracting 440 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
If we divide 400 by 88, we get 4 and a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 5776.45454
Subtracting 352 from 400 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
When dividing 480 by 88, we get 5 with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 5776.454545
If we subtract 440 from 480, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
88 goes into 400 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 5776.4545454
If we take 352 away from 400, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
88 can be fit into 480 5 times, resulting in a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 5776.45454545
Deduct 440 from 480 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 5776.45454545, with a leftover of 4e-08.