We divide 512778 by 78
We want to figure out the number of times 512778 can be divided by 78.

Step 1:
When dividing 5 by 78, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 78

On to step 2:
The number 78 fits into 51 0 times, leaving a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 78

On to step 3:
512 divided by 78 is 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 468 away from 512, we end up with 44.
Bring next digit (7) of the dividend behind the 44 and repeat the process: 447 / 78

Step 4:
When dividing 447 by 78, we get 5 with a remainder of 57.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we subtract 390 from 447, we get 57.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 78

Advancing to step 5:
577 divided by 78 is 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 657.0
Subtracting 546 from 577 leaves us with 31.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 78

Moving on to step 6:
When dividing 318 by 78, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 6574.0
Deduct 312 from 318 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
If we divide 60 by 78, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 6574.0
If we take 0 away from 60, we end up with 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:
When dividing 600 by 78, we get 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 6574.07
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 9:
If we divide 540 by 78, we get 6 and a remainder of 72.
The next digit of our result is 6. 
Result so far: 6574.076
If we take 468 away from 540, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
If we divide 720 by 78, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 6574.0769
Deduct 702 from 720 and we're left 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.

Advancing to step 11:
78 goes into 180 2 times with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 6574.07692
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
If we divide 240 by 78, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 6574.076923
Subtracting 234 from 240 leaves us with 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.
Record the quotient 0 as the next digit in the result. 
Result so far: 6574.076923
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
If we divide 600 by 78, we get 7 and a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 6574.07692307
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 6574.07692307 with a remainder of 5.4e-08.