We look at the division of 6626907 by 681 
Our goal is to divide 6626907 by 681.

Going ahead to step 1:
If we divide 6 by 681, we get 0 and 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.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 681

Let's proceed to step 2:
If we divide 66 by 681, we get 0 and a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (2) from the dividend and append it to 66, then repeat: 662 / 681

Moving on to step 3:
681 goes into 662 0 times with a remainder of 662.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 662 after subtracting 0 from 662.
Append the next digit (6) from the dividend to 662 and continue with: 6626 / 681

Step 4:
681 can be fit into 6626 9 times, resulting in a remainder of 497.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 497 after subtracting 6129 from 6626.
Take the next digit (9) from the dividend and append it to 497, then repeat: 4979 / 681

Going ahead to step 5:
681 goes into 4979 7 times with a remainder of 212.
Write down 7 as next digit of the result. 
Result so far: 97.0
If we subtract 4767 from 4979, we get 212.
Append the next digit (0) from the dividend to 212 and continue with: 2120 / 681

Step 6:
681 can be fit into 2120 3 times, resulting in a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 973.0
If we subtract 2043 from 2120, we get 77.
Take the next digit (7) from the dividend and append it to 77, then repeat: 777 / 681

Advancing to step 7:
The number 681 fits into 777 1 times, leaving a remainder of 96.
Use 1 as the next digit of our solution. 
Result so far: 9731.0
Deduct 681 from 777 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 8:
960 divided by 681 is 1 with a remainder of 279.
Record the quotient 1 as the next digit in the result. 
Result so far: 9731.1
Deduct 681 from 960 and we're left with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Going ahead to step 9:
The number 681 fits into 2790 4 times, leaving a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 9731.14
If we take 2724 away from 2790, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 10:
When dividing 660 by 681, we get 0 with a remainder of 660.
Use 0 as the next digit of our solution. 
Result so far: 9731.14
Subtracting 0 from 660 leaves us with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Let's proceed to step 11:
681 can be fit into 6600 9 times, resulting in a remainder of 471.
Use 9 as the next digit of our solution. 
Result so far: 9731.1409
Subtracting 6129 from 6600 leaves us with 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

Step 12:
681 goes into 4710 6 times with a remainder of 624.
Put 6 as the next digit of the answer. 
Result so far: 9731.14096
The remainder is 624 after subtracting 4086 from 4710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

On to step 13:
When dividing 6240 by 681, we get 9 with a remainder of 111.
The number 9 becomes the next digit in our result. 
Result so far: 9731.140969
If we subtract 6129 from 6240, we get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Moving on to step 14:
The number 681 fits into 1110 1 times, leaving a remainder of 429.
Record the quotient 1 as the next digit in the result. 
Result so far: 9731.1409691
Subtracting 681 from 1110 leaves us with 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Advancing to step 15:
4290 divided by 681 is 6 with a remainder of 204.
The next digit of our result is 6. 
Result so far: 9731.14096916
Subtract 4086 from 4290 to get 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

In conclusion, the division gives 9731.14096916 with a balance of 2.04e-07.