553564 divided by 900 
We're looking to find how many times 900 goes into 553564.

Let's proceed to step 1:
5 divided by 900 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 900

Moving on to step 2:
When dividing 55 by 900, we get 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 900

Let's proceed to step 3:
If we divide 553 by 900, we get 0 and a remainder of 553.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 553 to get 553.
Take the next digit (5) from the dividend and append it to 553, then repeat: 5535 / 900

Advancing to step 4:
The number 900 fits into 5535 6 times, leaving a remainder of 135.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 5400 from 5535 and we're left with 135.
Take the next digit (6) from the dividend and append it to 135, then repeat: 1356 / 900

Advancing to step 5:
900 goes into 1356 1 times with a remainder of 456.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtract 900 from 1356 to get 456.
Bring next digit (4) of the dividend behind the 456 and repeat the process: 4564 / 900

Going ahead to step 6:
If we divide 4564 by 900, we get 5 and a remainder of 64.
Write down 5 as next digit of the result. 
Result so far: 615.0
The remainder is 64 after subtracting 4500 from 4564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 7:
The number 900 fits into 640 0 times, leaving a remainder of 640.
Write down 0 as next digit of the result. 
Result so far: 615.0
Subtract 0 from 640 to get 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Step 8:
The number 900 fits into 6400 7 times, leaving a remainder of 100.
Record the quotient 7 as the next digit in the result. 
Result so far: 615.07
Deduct 6300 from 6400 and we're left with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 9:
The number 900 fits into 1000 1 times, leaving a remainder of 100.
Put 1 as the next digit of the answer. 
Result so far: 615.071
Subtracting 900 from 1000 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 10:
900 goes into 1000 1 times with a remainder of 100.
Put 1 as the next digit of the answer. 
Result so far: 615.0711
The remainder is 100 after subtracting 900 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

In conclusion, the division gives 615.0711 with a balance of 0.001.