We're dividing 566034 by 9 
We're looking to find how many times 9 goes into 566034.

On to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 9

Advancing to step 2:
The number 9 fits into 56 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 54 from 56 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 9

Going ahead to step 3:
If we divide 26 by 9, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtract 18 from 26 to get 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 9

Let's proceed to step 4:
The number 9 fits into 80 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 628.0
Subtract 72 from 80 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 9

Moving on to step 5:
If we divide 83 by 9, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6289.0
Deduct 81 from 83 and we're left with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 9

Let's proceed to step 6:
9 can be fit into 24 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 62892.0
If we take 18 away from 24, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 62892.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
When dividing 60 by 9, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 62892.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 62892.66, with a leftover of 0.006.