510733 divided by 78 
We're looking to find how many times 78 goes into 510733.

Step 1:
The number 78 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 78

Step 2:
51 divided by 78 is 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 78

Moving on to step 3:
510 divided by 78 is 6 with a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 468 from 510 and we're left with 42.
Bring next digit (7) of the dividend behind the 42 and repeat the process: 427 / 78

On to step 4:
When dividing 427 by 78, we get 5 with a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Deduct 390 from 427 and we're left with 37.
Take the next digit (3) from the dividend and append it to 37, then repeat: 373 / 78

Moving on to step 5:
The number 78 fits into 373 4 times, leaving a remainder of 61.
The number 4 becomes the next digit in our result. 
Result so far: 654.0
If we take 312 away from 373, we end up with 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 78

Going ahead to step 6:
78 can be fit into 613 7 times, resulting in a remainder of 67.
The next digit of our result is 7. 
Result so far: 6547.0
Subtracting 546 from 613 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 7:
670 divided by 78 is 8 with a remainder of 46.
The next digit of our result is 8. 
Result so far: 6547.8
Deduct 624 from 670 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.

On to step 8:
If we divide 460 by 78, we get 5 and a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 6547.85
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
700 divided by 78 is 8 with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 6547.858
Subtract 624 from 700 to 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.

Going ahead to step 10:
The number 78 fits into 760 9 times, leaving a remainder of 58.
The next digit of our result is 9. 
Result so far: 6547.8589
If we take 702 away from 760, we end up 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.

Step 11:
78 can be fit into 580 7 times, resulting in a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 6547.85897
Subtracting 546 from 580 leaves us 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.

Advancing to step 12:
340 divided by 78 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 6547.858974
Subtract 312 from 340 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
78 goes into 280 3 times with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 6547.8589743
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.

Let's proceed to step 14:
The number 78 fits into 460 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 6547.85897435
If we subtract 390 from 460, we 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.

After the division, we end up with 6547.85897435 and a remainder of 7e-08.