We're dividing 681628 by 18 
We want to figure out the number of times 681628 can be divided by 18.

On to step 1:
18 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 18

Moving on to step 2:
The number 18 fits into 68 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 54 from 68 to get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 18

On to step 3:
When dividing 141 by 18, we get 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 126 from 141, we get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 18

Let's proceed to step 4:
18 goes into 156 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 378.0
If we take 144 away from 156, we end up with 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 18

Moving on to step 5:
18 goes into 122 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 3786.0
If we take 108 away from 122, we end up with 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 18

Let's proceed to step 6:
18 goes into 148 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 37868.0
If we take 144 away from 148, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
If we divide 40 by 18, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 37868.2
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
18 can be fit into 40 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 37868.22
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 37868.22, and the remainder is 0.004.