We're dividing 666031 by 8 
Let's see how many times 8 fits into 666031.

On to step 1:
The number 8 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 8

On to step 2:
If we divide 66 by 8, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 2 after subtracting 64 from 66.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 8

Let's proceed to step 3:
8 can be fit into 26 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 83.0
Subtract 24 from 26 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 8

Step 4:
8 can be fit into 20 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 832.0
If we take 16 away from 20, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 8

Step 5:
43 divided by 8 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 8325.0
If we take 40 away from 43, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 8

Moving on to step 6:
8 can be fit into 31 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 83253.0
If we subtract 24 from 31, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
8 can be fit into 70 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 83253.8
Subtracting 64 from 70 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
8 can be fit into 60 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 83253.87
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
If we divide 40 by 8, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 83253.875
Subtract 40 from 40 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.

Step 10:
0 divided by 8 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 83253.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 83253.875
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 83253.875 with a balance of 0.0.