517809 ÷ 78 
Our goal is to divide 517809 by 78.

Let's proceed to step 1:
5 divided by 78 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 78

Going ahead to step 2:
The number 78 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 78

On to step 3:
78 goes into 517 6 times with a remainder of 49.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 468 away from 517, we end up with 49.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 78

Advancing to step 4:
If we divide 498 by 78, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtract 468 from 498 to get 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 78

Going ahead to step 5:
The number 78 fits into 300 3 times, leaving a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 663.0
If we take 234 away from 300, we end up with 66.
Include the next digit (9) from the dividend after 66, then repeat: 669 / 78

Moving on to step 6:
78 goes into 669 8 times with a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 6638.0
Subtracting 624 from 669 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 7:
450 divided by 78 is 5 with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 6638.5
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
600 divided by 78 is 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 6638.57
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
The number 78 fits into 540 6 times, leaving a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 6638.576
If we subtract 468 from 540, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
The number 78 fits into 720 9 times, leaving a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 6638.5769
If we take 702 away from 720, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
78 can be fit into 180 2 times, resulting in a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 6638.57692
If we take 156 away from 180, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
78 goes into 240 3 times with a remainder of 6.
The next digit of our result is 3. 
Result so far: 6638.576923
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
60 divided by 78 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 6638.576923
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
If we divide 600 by 78, we get 7 and a remainder of 54.
Record the quotient 7 as the next digit in the result. 
Result so far: 6638.57692307
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 6638.57692307 with a remainder of 5.4e-08.