Let's divide 681413 by 78
We're looking to find how many times 78 goes into 681413.

Step 1:
The number 78 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 78

Let's proceed to step 2:
If we divide 68 by 78, we get 0 and a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Fetch the next digit (1) from the dividend, attach it to 68 and continue: 681 / 78

Going ahead to step 3:
If we divide 681 by 78, we get 8 and a remainder of 57.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 624 from 681 to get 57.
Append the next digit (4) from the dividend to 57 and continue with: 574 / 78

Let's proceed to step 4:
The number 78 fits into 574 7 times, leaving a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
If we subtract 546 from 574, we get 28.
Bring next digit (1) of the dividend behind the 28 and repeat the process: 281 / 78

On to step 5:
The number 78 fits into 281 3 times, leaving a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 873.0
If we subtract 234 from 281, we get 47.
Take the next digit (3) from the dividend and append it to 47, then repeat: 473 / 78

Going ahead to step 6:
78 goes into 473 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 8736.0
Deduct 468 from 473 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
50 divided by 78 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 8736.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
500 divided by 78 is 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 8736.06
Deduct 468 from 500 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
When dividing 320 by 78, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8736.064
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
78 goes into 80 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 8736.0641
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
The number 78 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8736.0641
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
When dividing 200 by 78, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 8736.064102
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
The number 78 fits into 440 5 times, leaving a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 8736.0641025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
78 goes into 500 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 8736.06410256
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 8736.06410256 with a balance of 3.2e-08.