579773 ÷ 9 
Our goal is to divide 579773 by 9.

On to step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 9

Step 2:
9 goes into 57 6 times with a remainder of 3.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 54 from 57 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 9

On to step 3:
9 goes into 39 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Deduct 36 from 39 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Advancing to step 4:
When dividing 37 by 9, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 644.0
Subtract 36 from 37 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 9

Advancing to step 5:
The number 9 fits into 17 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 6441.0
If we subtract 9 from 17, we get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 9

Going ahead to step 6:
9 goes into 83 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 64419.0
Deduct 81 from 83 and we're left 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.

Step 7:
9 can be fit into 20 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 64419.2
If we subtract 18 from 20, we 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.

Going ahead 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: 64419.22
Deduct 18 from 20 and we're left 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.

The final outcome is 64419.22, with a leftover of 0.002.