We're dividing 596655 by 9 
We're looking to find how many times 9 goes into 596655.

Going ahead to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 9

Advancing to step 2:
When dividing 59 by 9, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 54 from 59 leaves us with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 9

Step 3:
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: 66.0
Deduct 54 from 56 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 9

Let's proceed to step 4:
9 goes into 26 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 662.0
If we take 18 away from 26, we end up with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 9

Step 5:
9 goes into 85 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 6629.0
Subtract 81 from 85 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

On to step 6:
If we divide 45 by 9, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 66295.0
Subtract 45 from 45 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
9 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 66295.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 9 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 66295.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 66295.0, with a leftover of 0.0.