666975 divided by 9 
We're looking to find how many times 9 goes into 666975.

Moving on to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 9

Step 2:
The number 9 fits into 66 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 63 from 66 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 9

Advancing to step 3:
9 goes into 36 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
Subtracting 36 from 36 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 9

Step 4:
The number 9 fits into 9 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 741.0
Subtract 9 from 9 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 9

On to step 5:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 7410.0
Subtract 0 from 7 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 9

Let's proceed to step 6:
9 goes into 75 8 times with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 74108.0
Subtracting 72 from 75 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 9, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 74108.3
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
When dividing 30 by 9, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 74108.33
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 74108.33, with a leftover of 0.003.