600514 ÷ 78 
We're looking to find how many times 78 goes into 600514.

Moving on to step 1:
78 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 78

Going ahead to step 2:
The number 78 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 60 after subtracting 0 from 60.
Take the next digit (0) from the dividend and append it to 60, then repeat: 600 / 78

Let's proceed to step 3:
The number 78 fits into 600 7 times, leaving a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 546 away from 600, we end up with 54.
Fetch the next digit (5) from the dividend, attach it to 54 and continue: 545 / 78

Going ahead to step 4:
The number 78 fits into 545 6 times, leaving a remainder of 77.
The next digit of our result is 6. 
Result so far: 76.0
Deduct 468 from 545 and we're left with 77.
Take the next digit (1) from the dividend and append it to 77, then repeat: 771 / 78

Moving on to step 5:
The number 78 fits into 771 9 times, leaving a remainder of 69.
Write down 9 as next digit of the result. 
Result so far: 769.0
If we subtract 702 from 771, we get 69.
Append the next digit (4) from the dividend to 69 and continue with: 694 / 78

On to step 6:
78 goes into 694 8 times with a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 7698.0
If we subtract 624 from 694, 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.

Step 7:
78 can be fit into 700 8 times, resulting in a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 7698.8
If we take 624 away from 700, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 8:
The number 78 fits into 760 9 times, leaving a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 7698.89
Subtract 702 from 760 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 9:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 7698.897
Subtract 546 from 580 to get 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 10:
When dividing 340 by 78, we get 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 7698.8974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
If we divide 280 by 78, we get 3 and a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 7698.89743
If we subtract 234 from 280, we get 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 12:
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: 7698.897435
Deduct 390 from 460 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
If we divide 700 by 78, we get 8 and a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 7698.8974358
If we take 624 away from 700, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 14:
760 divided by 78 is 9 with a remainder of 58.
The next digit of our result is 9. 
Result so far: 7698.89743589
Subtracting 702 from 760 leaves us 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.

In conclusion, the division gives 7698.89743589 with a balance of 5.8e-08.