We're dividing 4559 by 88 
We're looking to find how many times 88 goes into 4559.

Advancing to step 1:
88 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 88

Moving on to step 2:
88 can be fit into 45 0 times, resulting in a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 88

Let's proceed to step 3:
88 can be fit into 455 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 440 from 455 leaves us with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 88

Let's proceed to step 4:
88 can be fit into 159 1 times, resulting in a remainder of 71.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 88 away from 159, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 5:
88 goes into 710 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 51.8
If we subtract 704 from 710, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
The number 88 fits into 60 0 times, leaving a remainder of 60.
The next digit of our result is 0. 
Result so far: 51.8
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
88 can be fit into 600 6 times, resulting in a remainder of 72.
The next digit of our result is 6. 
Result so far: 51.806
Subtract 528 from 600 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
If we divide 720 by 88, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 51.8068
Subtract 704 from 720 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
88 goes into 160 1 times with a remainder of 72.
The next digit of our result is 1. 
Result so far: 51.80681
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
If we divide 720 by 88, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 51.806818
If we take 704 away from 720, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
88 goes into 160 1 times with a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.8068181
Subtract 88 from 160 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 12:
88 can be fit into 720 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 51.80681818
If we take 704 away from 720, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 51.80681818 with a remainder of 1.6e-08.