We look at the division of 681588 by 78 
Our goal is to divide 681588 by 78.

Advancing to step 1:
If we divide 6 by 78, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 78

Moving on to step 2:
68 divided by 78 is 0 with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Grab the next digit (1) from the dividend, add it to 68, then carry on: 681 / 78

On to step 3:
If we divide 681 by 78, we get 8 and a remainder of 57.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 624 away from 681, we end up with 57.
Include the next digit (5) from the dividend after 57, then repeat: 575 / 78

Step 4:
78 can be fit into 575 7 times, resulting in a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 87.0
If we take 546 away from 575, we end up with 29.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 78

Let's proceed to step 5:
298 divided by 78 is 3 with a remainder of 64.
The next digit of our result is 3. 
Result so far: 873.0
Subtract 234 from 298 to get 64.
Include the next digit (8) from the dividend after 64, then repeat: 648 / 78

Going ahead to step 6:
When dividing 648 by 78, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 8738.0
If we subtract 624 from 648, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
78 goes into 240 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 8738.3
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8738.3
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
If we divide 600 by 78, we get 7 and a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 8738.307
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 10:
If we divide 540 by 78, we get 6 and a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 8738.3076
Deduct 468 from 540 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
When dividing 720 by 78, we get 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 8738.30769
Subtracting 702 from 720 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
The number 78 fits into 180 2 times, leaving a remainder of 24.
The next digit of our result is 2. 
Result so far: 8738.307692
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
78 can be fit into 240 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 8738.3076923
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
When dividing 60 by 78, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 8738.3076923
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 8738.3076923 with a remaining 6e-08.