We look at the division of 681637 by 99 
We want to divide 681637 by 99.

Moving on to step 1:
If we divide 6 by 99, 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.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 99

Going ahead to step 2:
If we divide 68 by 99, we get 0 and a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Fetch the next digit (1) from the dividend, attach it to 68 and continue: 681 / 99

On to step 3:
681 divided by 99 is 6 with a remainder of 87.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 594 away from 681, we end up with 87.
Include the next digit (6) from the dividend after 87, then repeat: 876 / 99

Let's proceed to step 4:
876 divided by 99 is 8 with a remainder of 84.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
The remainder is 84 after subtracting 792 from 876.
Take the next digit (3) from the dividend and append it to 84, then repeat: 843 / 99

Step 5:
The number 99 fits into 843 8 times, leaving a remainder of 51.
Put 8 as the next digit of the answer. 
Result so far: 688.0
Deduct 792 from 843 and we're left with 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 99

Going ahead to step 6:
99 goes into 517 5 times with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 6885.0
If we subtract 495 from 517, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
The number 99 fits into 220 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 6885.2
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
99 can be fit into 220 2 times, resulting in a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 6885.22
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 6885.22 and a remainder of 0.022.