556306 ÷ 88 
We want to figure out the number of times 556306 can be divided by 88.

Advancing to step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 88

Moving on to step 2:
88 goes into 55 0 times with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 88

Going ahead to step 3:
556 divided by 88 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 528 from 556 to get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 88

Let's proceed to step 4:
88 can be fit into 283 3 times, resulting in a remainder of 19.
The next digit of our result is 3. 
Result so far: 63.0
If we subtract 264 from 283, we get 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 88

On to step 5:
When dividing 190 by 88, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 632.0
Subtracting 176 from 190 leaves us with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 88

Step 6:
88 goes into 146 1 times with a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 6321.0
If we take 88 away from 146, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
88 goes into 580 6 times with a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 6321.6
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
If we divide 520 by 88, we get 5 and a remainder of 80.
The number 5 becomes the next digit in our result. 
Result so far: 6321.65
The remainder is 80 after subtracting 440 from 520.
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 9:
The number 88 fits into 800 9 times, leaving a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 6321.659
If we take 792 away from 800, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
The number 88 fits into 80 0 times, leaving a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 6321.659
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.

Let's proceed to step 11:
If we divide 800 by 88, we get 9 and a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 6321.65909
Subtracting 792 from 800 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
88 can be fit into 80 0 times, resulting in a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6321.65909
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.

Moving on to step 13:
The number 88 fits into 800 9 times, leaving a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 6321.6590909
The remainder is 8 after subtracting 792 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
The number 88 fits into 80 0 times, leaving a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 6321.6590909
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.

Our division results in 6321.6590909 with a remaining 8e-08.