We look at the division of 498519 by 88 
We're looking to find how many times 88 goes into 498519.

Step 1:
If we divide 4 by 88, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 88

Step 2:
49 divided by 88 is 0 with a remainder of 49.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 49 leaves us with 49.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 88

Let's proceed to step 3:
88 goes into 498 5 times with a remainder of 58.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 58 after subtracting 440 from 498.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 88

Advancing to step 4:
If we divide 585 by 88, we get 6 and a remainder of 57.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtract 528 from 585 to get 57.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 88

Going ahead to step 5:
571 divided by 88 is 6 with a remainder of 43.
The next digit of our result is 6. 
Result so far: 566.0
Subtract 528 from 571 to get 43.
Take the next digit (9) from the dividend and append it to 43, then repeat: 439 / 88

Let's proceed to step 6:
When dividing 439 by 88, we get 4 with a remainder of 87.
Write down 4 as next digit of the result. 
Result so far: 5664.0
Subtracting 352 from 439 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 7:
When dividing 870 by 88, we get 9 with a remainder of 78.
The number 9 becomes the next digit in our result. 
Result so far: 5664.9
Deduct 792 from 870 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 8:
780 divided by 88 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 5664.98
The remainder is 76 after subtracting 704 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 9:
The number 88 fits into 760 8 times, leaving a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 5664.988
Subtracting 704 from 760 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 5664.988 with a balance of 0.0056.