Let's divide 639724 by 78
We want to divide 639724 by 78.

Going ahead to step 1:
If we divide 6 by 78, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 78

Advancing to step 2:
63 divided by 78 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Fetch the next digit (9) from the dividend, attach it to 63 and continue: 639 / 78

On to step 3:
When dividing 639 by 78, we get 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 624 away from 639, we end up with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 78

On to step 4:
78 can be fit into 157 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we subtract 156 from 157, we get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 78

On to step 5:
78 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 820.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 78

On to step 6:
124 divided by 78 is 1 with a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 8201.0
Deduct 78 from 124 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
78 goes into 460 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 8201.5
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
When dividing 700 by 78, we get 8 with a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 8201.58
If we subtract 624 from 700, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
78 can be fit into 760 9 times, resulting in a remainder of 58.
The next digit of our result is 9. 
Result so far: 8201.589
The remainder is 58 after subtracting 702 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
78 can be fit into 580 7 times, resulting in a remainder of 34.
The next digit of our result is 7. 
Result so far: 8201.5897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
The number 78 fits into 340 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 8201.58974
If we take 312 away from 340, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
78 can be fit into 280 3 times, resulting in a remainder of 46.
The next digit of our result is 3. 
Result so far: 8201.589743
Subtracting 234 from 280 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 13:
78 goes into 460 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 8201.5897435
Subtract 390 from 460 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 14:
78 goes into 700 8 times with a remainder of 76.
The next digit of our result is 8. 
Result so far: 8201.58974358
The remainder is 76 after subtracting 624 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 8201.58974358 with a balance of 7.6e-08.