Let's divide 646727 by 78
Our goal is to divide 646727 by 78.

Advancing 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
Deduct 0 from 6 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 78

Going ahead to step 2:
If we divide 64 by 78, we get 0 and a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Grab the next digit (6) from the dividend, add it to 64, then carry on: 646 / 78

Moving on to step 3:
646 divided by 78 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 624 from 646, we get 22.
Include the next digit (7) from the dividend after 22, then repeat: 227 / 78

On to step 4:
The number 78 fits into 227 2 times, leaving a remainder of 71.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Deduct 156 from 227 and we're left with 71.
Fetch the next digit (2) from the dividend, attach it to 71 and continue: 712 / 78

Going ahead to step 5:
78 can be fit into 712 9 times, resulting in a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 829.0
Subtract 702 from 712 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 78

On to step 6:
78 goes into 107 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 8291.0
Deduct 78 from 107 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
78 can be fit into 290 3 times, resulting in a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 8291.3
Subtracting 234 from 290 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
If we divide 560 by 78, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 8291.37
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
When dividing 140 by 78, we get 1 with a remainder of 62.
Use 1 as the next digit of our solution. 
Result so far: 8291.371
Subtract 78 from 140 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
When dividing 620 by 78, we get 7 with a remainder of 74.
The next digit of our result is 7. 
Result so far: 8291.3717
Subtract 546 from 620 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 11:
78 goes into 740 9 times with a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 8291.37179
The remainder is 38 after subtracting 702 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
The number 78 fits into 380 4 times, leaving a remainder of 68.
Use 4 as the next digit of our solution. 
Result so far: 8291.371794
Subtract 312 from 380 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
78 goes into 680 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 8291.3717948
Subtracting 624 from 680 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 14:
The number 78 fits into 560 7 times, leaving a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 8291.37179487
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 8291.37179487 with a remainder of 1.4e-08.