We're dividing 574909 by 9 
We're looking to find how many times 9 goes into 574909.

Let's proceed to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 9

Let's proceed to step 2:
57 divided by 9 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 3 after subtracting 54 from 57.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 9

Advancing to step 3:
If we divide 34 by 9, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
The remainder is 7 after subtracting 27 from 34.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 9

Advancing to step 4:
If we divide 79 by 9, we get 8 and a remainder of 7.
The next digit of our result is 8. 
Result so far: 638.0
Subtract 72 from 79 to get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 9

On to step 5:
70 divided by 9 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 6387.0
If we subtract 63 from 70, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 9

Advancing to step 6:
9 goes into 79 8 times with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 63878.0
If we subtract 72 from 79, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
70 divided by 9 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 63878.7
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 9, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 63878.77
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 63878.77, with a leftover of 0.007.