Let's divide 509493 by 78
We want to divide 509493 by 78.

Going ahead to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 78

On to step 2:
The number 78 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 78

Going ahead to step 3:
78 goes into 509 6 times with a remainder of 41.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 468 from 509 and we're left with 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 78

Moving on to step 4:
414 divided by 78 is 5 with a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Deduct 390 from 414 and we're left with 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 78

Let's proceed to step 5:
If we divide 249 by 78, we get 3 and a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 653.0
The remainder is 15 after subtracting 234 from 249.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 78

Step 6:
If we divide 153 by 78, we get 1 and a remainder of 75.
Use 1 as the next digit of our solution. 
Result so far: 6531.0
If we take 78 away from 153, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 7:
78 goes into 750 9 times with a remainder of 48.
Record the quotient 9 as the next digit in the result. 
Result so far: 6531.9
Deduct 702 from 750 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
78 goes into 480 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6531.96
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
78 goes into 120 1 times with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 6531.961
Deduct 78 from 120 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
If we divide 420 by 78, we get 5 and a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 6531.9615
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
When dividing 300 by 78, we get 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 6531.96153
Subtract 234 from 300 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 12:
78 goes into 660 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 6531.961538
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
When dividing 360 by 78, we get 4 with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 6531.9615384
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 14:
The number 78 fits into 480 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 6531.96153846
Subtracting 468 from 480 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 6531.96153846 with a balance of 1.2e-08.