We look at the division of 663008 by 4 
We're looking to find how many times 4 goes into 663008.

Let's proceed to step 1:
When dividing 6 by 4, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 4 from 6 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 4

Step 2:
4 goes into 26 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Step 3:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 165.0
Subtracting 20 from 23 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Going ahead to step 4:
30 divided by 4 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 1657.0
If we take 28 away from 30, we end up with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 4

Moving on to step 5:
When dividing 20 by 4, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16575.0
The remainder is 0 after subtracting 20 from 20.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 4

Moving on to step 6:
The number 4 fits into 8 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 165752.0
Subtracting 8 from 8 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 7:
If we divide 0 by 4, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 165752.0
Deduct 0 from 0 and we're left 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 8:
4 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 165752.0
If we subtract 0 from 0, 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.

The quotient of the division is 165752.0, and the remainder is 0.0.