Let's divide 517441 by 78
We want to divide 517441 by 78.

Let's proceed to step 1:
When dividing 5 by 78, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 78

Moving on to step 2:
If we divide 51 by 78, we get 0 and a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 78

Moving on to step 3:
517 divided by 78 is 6 with a remainder of 49.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 468 from 517, we get 49.
Take the next digit (4) from the dividend and append it to 49, then repeat: 494 / 78

Going ahead to step 4:
78 can be fit into 494 6 times, resulting in a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Deduct 468 from 494 and we're left with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 78

Moving on to step 5:
78 can be fit into 264 3 times, resulting in a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 663.0
If we subtract 234 from 264, we get 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 78

Going ahead to step 6:
If we divide 301 by 78, we get 3 and a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 6633.0
If we take 234 away from 301, we end up 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.

Moving on to step 7:
When dividing 670 by 78, we get 8 with a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 6633.8
Subtract 624 from 670 to 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.

Moving on to step 8:
460 divided by 78 is 5 with a remainder of 70.
The next digit of our result is 5. 
Result so far: 6633.85
Subtract 390 from 460 to 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.

Let's proceed to step 9:
If we divide 700 by 78, we get 8 and a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 6633.858
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.

Let's proceed to step 10:
78 can be fit into 760 9 times, resulting in a remainder of 58.
The next digit of our result is 9. 
Result so far: 6633.8589
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.

On to step 11:
The number 78 fits into 580 7 times, leaving a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 6633.85897
The remainder is 34 after subtracting 546 from 580.
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:
78 can be fit into 340 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 6633.858974
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
When dividing 280 by 78, we get 3 with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 6633.8589743
Subtract 234 from 280 to 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.

Going ahead to step 14:
The number 78 fits into 460 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 6633.85897435
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.

In conclusion, the division gives 6633.85897435 with a balance of 7e-08.