553597 divided by 99 
We're looking to find how many times 99 goes into 553597.

On to step 1:
99 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 99

On to step 2:
55 divided by 99 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 99

Moving on to step 3:
The number 99 fits into 553 5 times, leaving a remainder of 58.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 495 from 553 leaves us with 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 99

On to step 4:
The number 99 fits into 585 5 times, leaving a remainder of 90.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Deduct 495 from 585 and we're left with 90.
Fetch the next digit (9) from the dividend, attach it to 90 and continue: 909 / 99

Going ahead to step 5:
99 can be fit into 909 9 times, resulting in a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 559.0
Subtracting 891 from 909 leaves us with 18.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 99

Moving on to step 6:
99 goes into 187 1 times with a remainder of 88.
Record the quotient 1 as the next digit in the result. 
Result so far: 5591.0
If we subtract 99 from 187, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 7:
When dividing 880 by 99, we get 8 with a remainder of 88.
The next digit of our result is 8. 
Result so far: 5591.8
Subtract 792 from 880 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 8:
99 goes into 880 8 times with a remainder of 88.
Write down 8 as next digit of the result. 
Result so far: 5591.88
Subtract 792 from 880 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

After the division, we end up with 5591.88 and a remainder of 0.088.