We look at the division of 663401 by 18 
We want to figure out the number of times 663401 can be divided by 18.

Advancing to step 1:
If we divide 6 by 18, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 18

On to step 2:
18 can be fit into 66 3 times, resulting in a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 54 from 66 to get 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 18

Let's proceed to step 3:
18 can be fit into 123 6 times, resulting in a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
If we take 108 away from 123, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 18

Let's proceed to step 4:
If we divide 154 by 18, we get 8 and a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 368.0
If we subtract 144 from 154, we get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 18

On to step 5:
If we divide 100 by 18, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 3685.0
If we take 90 away from 100, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 18

Moving on to step 6:
The number 18 fits into 101 5 times, leaving a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 36855.0
Deduct 90 from 101 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
18 goes into 110 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 36855.6
Subtract 108 from 110 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.

Moving on to step 8:
When dividing 20 by 18, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 36855.61
Deduct 18 from 20 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.

Moving on to step 9:
If we divide 20 by 18, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 36855.611
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.

After the division, we end up with 36855.611 and a remainder of 0.0002.