We're dividing 566355 by 532 
We're looking to find how many times 532 goes into 566355.

Moving on to step 1:
If we divide 5 by 532, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 532

Going ahead to step 2:
56 divided by 532 is 0 with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Bring next digit (6) of the dividend behind the 56 and repeat the process: 566 / 532

Going ahead to step 3:
When dividing 566 by 532, we get 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 532 from 566, we get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 532

On to step 4:
343 divided by 532 is 0 with a remainder of 343.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 343 after subtracting 0 from 343.
Fetch the next digit (5) from the dividend, attach it to 343 and continue: 3435 / 532

Let's proceed to step 5:
When dividing 3435 by 532, we get 6 with a remainder of 243.
Write down 6 as next digit of the result. 
Result so far: 106.0
If we take 3192 away from 3435, we end up with 243.
Fetch the next digit (5) from the dividend, attach it to 243 and continue: 2435 / 532

Step 6:
2435 divided by 532 is 4 with a remainder of 307.
The next digit of our result is 4. 
Result so far: 1064.0
The remainder is 307 after subtracting 2128 from 2435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Advancing to step 7:
When dividing 3070 by 532, we get 5 with a remainder of 410.
Write down 5 as next digit of the result. 
Result so far: 1064.5
Deduct 2660 from 3070 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

On to step 8:
The number 532 fits into 4100 7 times, leaving a remainder of 376.
The next digit of our result is 7. 
Result so far: 1064.57
If we subtract 3724 from 4100, we get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

On to step 9:
The number 532 fits into 3760 7 times, leaving a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 1064.577
Deduct 3724 from 3760 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 1064.577 and a remainder of 0.0036.