We're dividing 658676 by 9 
We're looking to find how many times 9 goes into 658676.

Step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 9

On to step 2:
9 can be fit into 65 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 63 from 65 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 9

Step 3:
If we divide 28 by 9, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we take 27 away from 28, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

On to step 4:
If we divide 16 by 9, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 731.0
If we subtract 9 from 16, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 9

Let's proceed to step 5:
77 divided by 9 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 7318.0
Subtract 72 from 77 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 9

Advancing to step 6:
The number 9 fits into 56 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 73186.0
Deduct 54 from 56 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.

On to step 7:
The number 9 fits into 20 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 73186.2
Subtract 18 from 20 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.

Step 8:
When dividing 20 by 9, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 73186.22
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.

The final result is 73186.22 with a remainder of 0.002.