We're dividing 646313 by 78 
Our goal is to divide 646313 by 78.

Let's proceed to step 1:
6 divided by 78 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 78

Advancing to step 2:
78 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Fetch the next digit (6) from the dividend, attach it to 64 and continue: 646 / 78

Let's proceed to step 3:
When dividing 646 by 78, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 624 away from 646, we end up with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 78

Going ahead to step 4:
78 can be fit into 223 2 times, resulting in a remainder of 67.
Put 2 as the next digit of the answer. 
Result so far: 82.0
If we subtract 156 from 223, we get 67.
Append the next digit (1) from the dividend to 67 and continue with: 671 / 78

Going ahead to step 5:
78 can be fit into 671 8 times, resulting in a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 828.0
If we take 624 away from 671, we end up with 47.
Append the next digit (3) from the dividend to 47 and continue with: 473 / 78

Step 6:
The number 78 fits into 473 6 times, leaving a remainder of 5.
The next digit of our result is 6. 
Result so far: 8286.0
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:
If we divide 50 by 78, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 8286.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
When dividing 500 by 78, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 8286.06
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
320 divided by 78 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 8286.064
If we take 312 away from 320, we end up 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.

Step 10:
If we divide 80 by 78, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 8286.0641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
If we divide 20 by 78, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8286.0641
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
78 can be fit into 200 2 times, resulting in a remainder of 44.
The next digit of our result is 2. 
Result so far: 8286.064102
Subtract 156 from 200 to 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.

Advancing to step 13:
78 goes into 440 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 8286.0641025
Subtracting 390 from 440 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.

On to step 14:
78 goes into 500 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 8286.06410256
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.

The final result is 8286.06410256 with a remainder of 3.2e-08.