We look at the division of 663277 by 8 
We want to figure out the number of times 663277 can be divided by 8.

Advancing to step 1:
8 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 8

Going ahead to step 2:
66 divided by 8 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 64 away from 66, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 8

Let's proceed to step 3:
23 divided by 8 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
The remainder is 7 after subtracting 16 from 23.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 8

Let's proceed to step 4:
If we divide 72 by 8, we get 9 and a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 829.0
Deduct 72 from 72 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 8

Step 5:
When dividing 7 by 8, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 8290.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 8

Advancing to step 6:
8 can be fit into 77 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 82909.0
Deduct 72 from 77 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
50 divided by 8 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 82909.6
If we subtract 48 from 50, we 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:
20 divided by 8 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 82909.62
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 8, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 82909.625
If we subtract 40 from 40, we 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.

Going ahead to step 10:
8 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 82909.625
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.

On to step 11:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 82909.625
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.

The final result is 82909.625 with a remainder of 0.0.