We're dividing 641701 by 78 
We're looking to find how many times 78 goes into 641701.

Moving on to step 1:
When dividing 6 by 78, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 78

Advancing to step 2:
64 divided by 78 is 0 with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Include the next digit (1) from the dividend after 64, then repeat: 641 / 78

On to step 3:
641 divided by 78 is 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 17 after subtracting 624 from 641.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 78

Moving on to step 4:
78 can be fit into 177 2 times, resulting in a remainder of 21.
The next digit of our result is 2. 
Result so far: 82.0
If we subtract 156 from 177, we get 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 78

On to step 5:
78 can be fit into 210 2 times, resulting in a remainder of 54.
Put 2 as the next digit of the answer. 
Result so far: 822.0
The remainder is 54 after subtracting 156 from 210.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 78

Going ahead to step 6:
The number 78 fits into 541 6 times, leaving a remainder of 73.
Use 6 as the next digit of our solution. 
Result so far: 8226.0
The remainder is 73 after subtracting 468 from 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 7:
78 can be fit into 730 9 times, resulting in a remainder of 28.
The next digit of our result is 9. 
Result so far: 8226.9
The remainder is 28 after subtracting 702 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
When dividing 280 by 78, we get 3 with a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 8226.93
If we take 234 away from 280, we end up 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.

Advancing to step 9:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 8226.935
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 10:
If we divide 700 by 78, we get 8 and a remainder of 76.
The next digit of our result is 8. 
Result so far: 8226.9358
Subtracting 624 from 700 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 11:
760 divided by 78 is 9 with a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 8226.93589
Subtracting 702 from 760 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 12:
78 goes into 580 7 times with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 8226.935897
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
78 goes into 340 4 times with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 8226.9358974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
280 divided by 78 is 3 with a remainder of 46.
The next digit of our result is 3. 
Result so far: 8226.93589743
If we take 234 away from 280, we end up 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.

In conclusion, the division gives 8226.93589743 with a balance of 4.6e-08.