666596 ÷ 9 
We want to figure out the number of times 666596 can be divided by 9.

Moving on to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 9

Step 2:
When dividing 66 by 9, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 3 after subtracting 63 from 66.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 9

Let's proceed to step 3:
When dividing 36 by 9, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 36 away from 36, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 9

Going ahead to step 4:
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: 740.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 9

Moving on to step 5:
59 divided by 9 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 7406.0
If we take 54 away from 59, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Going ahead to step 6:
9 goes into 56 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 74066.0
Subtract 54 from 56 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.

On to step 7:
20 divided by 9 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 74066.2
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.

On to step 8:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 74066.22
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 74066.22 and a remainder of 0.002.