We're dividing 665627 by 18 
We want to figure out the number of times 665627 can be divided by 18.

Moving on to step 1:
If we divide 6 by 18, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 18

Step 2:
18 goes into 66 3 times with a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 54 from 66 and we're left with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 18

On to step 3:
18 goes into 125 6 times with a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtract 108 from 125 to get 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 18

Step 4:
When dividing 176 by 18, we get 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 369.0
Deduct 162 from 176 and we're left with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 18

Moving on to step 5:
18 can be fit into 142 7 times, resulting in a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 3697.0
Deduct 126 from 142 and we're left with 16.
Append the next digit (7) from the dividend to 16 and continue with: 167 / 18

Let's proceed to step 6:
The number 18 fits into 167 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 36979.0
If we subtract 162 from 167, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
The number 18 fits into 50 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 36979.2
If we subtract 36 from 50, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
When dividing 140 by 18, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 36979.27
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
If we divide 140 by 18, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 36979.277
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 36979.277, and the remainder is 0.0014.