519249 ÷ 78 
Our goal is to divide 519249 by 78.

Advancing to step 1:
When dividing 5 by 78, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 78

On to step 2:
78 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 78

Let's proceed to step 3:
When dividing 519 by 78, we get 6 with a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 468 from 519 and we're left with 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 78

Going ahead to step 4:
The number 78 fits into 512 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 468 from 512, we get 44.
Include the next digit (4) from the dividend after 44, then repeat: 444 / 78

Going ahead to step 5:
The number 78 fits into 444 5 times, leaving a remainder of 54.
Put 5 as the next digit of the answer. 
Result so far: 665.0
If we subtract 390 from 444, we get 54.
Fetch the next digit (9) from the dividend, attach it to 54 and continue: 549 / 78

Moving on to step 6:
If we divide 549 by 78, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6657.0
The remainder is 3 after subtracting 546 from 549.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
78 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 6657.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 78 fits into 300 3 times, leaving a remainder of 66.
The next digit of our result is 3. 
Result so far: 6657.03
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 9:
The number 78 fits into 660 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 6657.038
If we subtract 624 from 660, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
78 can be fit into 360 4 times, resulting in a remainder of 48.
The next digit of our result is 4. 
Result so far: 6657.0384
If we take 312 away from 360, we end up 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 11:
78 can be fit into 480 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 6657.03846
Subtract 468 from 480 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
When dividing 120 by 78, we get 1 with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 6657.038461
Subtract 78 from 120 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
78 can be fit into 420 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 6657.0384615
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 14:
78 can be fit into 300 3 times, resulting in a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 6657.03846153
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 6657.03846153, and the remainder is 6.6e-08.