We divide 556391 by 88
We're looking to find how many times 88 goes into 556391.

Advancing to step 1:
If we divide 5 by 88, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 88

On to step 2:
The number 88 fits into 55 0 times, leaving a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 88

On to step 3:
The number 88 fits into 556 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 528 from 556 to get 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 88

Going ahead to step 4:
283 divided by 88 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 264 from 283 and we're left with 19.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 88

Step 5:
The number 88 fits into 199 2 times, leaving a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 632.0
If we take 176 away from 199, we end up with 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 88

Moving on to step 6:
When dividing 231 by 88, we get 2 with a remainder of 55.
Use 2 as the next digit of our solution. 
Result so far: 6322.0
Subtracting 176 from 231 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
If we divide 550 by 88, we get 6 and a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 6322.6
Deduct 528 from 550 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
The number 88 fits into 220 2 times, leaving a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 6322.62
The remainder is 44 after subtracting 176 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
The number 88 fits into 440 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 6322.625
The remainder is 0 after subtracting 440 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
The number 88 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6322.625
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
When dividing 0 by 88, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6322.625
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6322.625, and the remainder is 0.0.