We look at the division of 543566 by 9 
Let's see how many times 9 fits into 543566.

Going ahead to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 9

Going ahead to step 2:
9 goes into 54 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 54 from 54 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 9

On to step 3:
3 divided by 9 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 60.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 9

Moving on to step 4:
If we divide 35 by 9, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 603.0
If we subtract 27 from 35, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

On to step 5:
The number 9 fits into 86 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 6039.0
Subtract 81 from 86 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 9

Moving on to step 6:
If we divide 56 by 9, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 60396.0
If we take 54 away from 56, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
9 can be fit into 20 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 60396.2
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 9 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 60396.22
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 60396.22 with a remaining 0.002.