We're dividing 565505 by 96 
Let's see how many times 96 fits into 565505.

Advancing to step 1:
96 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 96

Going ahead to step 2:
When dividing 56 by 96, we get 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 96

Going ahead to step 3:
The number 96 fits into 565 5 times, leaving a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 480 from 565, we get 85.
Append the next digit (5) from the dividend to 85 and continue with: 855 / 96

On to step 4:
When dividing 855 by 96, we get 8 with a remainder of 87.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 768 from 855 to get 87.
Fetch the next digit (0) from the dividend, attach it to 87 and continue: 870 / 96

Step 5:
The number 96 fits into 870 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 589.0
Deduct 864 from 870 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 96

Let's proceed to step 6:
When dividing 65 by 96, we get 0 with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 5890.0
Subtracting 0 from 65 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
When dividing 650 by 96, we get 6 with a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 5890.6
If we subtract 576 from 650, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 8:
The number 96 fits into 740 7 times, leaving a remainder of 68.
The next digit of our result is 7. 
Result so far: 5890.67
Deduct 672 from 740 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
The number 96 fits into 680 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 5890.677
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 5890.677, and the remainder is 0.0008.