We're dividing 669655 by 9 
We're looking to find how many times 9 goes into 669655.

Let's proceed to step 1:
9 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 9

On to step 2:
9 can be fit into 66 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 63 from 66 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 9

On to step 3:
When dividing 39 by 9, we get 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 74.0
Subtracting 36 from 39 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 9

On to step 4:
When dividing 36 by 9, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 744.0
If we subtract 36 from 36, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 9

Advancing to step 5:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 7440.0
If we subtract 0 from 5, we get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 9

Step 6:
If we divide 55 by 9, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 74406.0
Subtracting 54 from 55 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 9 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 74406.1
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 74406.11
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 74406.11 and a remainder of 0.001.