513429 divided by 78 
Let's see how many times 78 fits into 513429.

Going ahead to step 1:
5 divided by 78 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 78

Let's proceed to step 2:
78 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Grab the next digit (3) from the dividend, add it to 51, then carry on: 513 / 78

Advancing to step 3:
513 divided by 78 is 6 with a remainder of 45.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 45 after subtracting 468 from 513.
Grab the next digit (4) from the dividend, add it to 45, then carry on: 454 / 78

Let's proceed to step 4:
78 can be fit into 454 5 times, resulting in a remainder of 64.
The next digit of our result is 5. 
Result so far: 65.0
The remainder is 64 after subtracting 390 from 454.
Grab the next digit (2) from the dividend, add it to 64, then carry on: 642 / 78

Step 5:
The number 78 fits into 642 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 658.0
Subtract 624 from 642 to get 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 78

Going ahead to step 6:
When dividing 189 by 78, we get 2 with a remainder of 33.
The next digit of our result is 2. 
Result so far: 6582.0
Subtracting 156 from 189 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
78 can be fit into 330 4 times, resulting in a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 6582.4
Subtracting 312 from 330 leaves us 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.

On to step 8:
78 can be fit into 180 2 times, resulting in a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 6582.42
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.

Going ahead to step 9:
When dividing 240 by 78, we get 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 6582.423
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
When dividing 60 by 78, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 6582.423
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
The number 78 fits into 600 7 times, leaving a remainder of 54.
Put 7 as the next digit of the answer. 
Result so far: 6582.42307
Deduct 546 from 600 and we're left 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.

Going ahead to step 12:
78 goes into 540 6 times with a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 6582.423076
The remainder is 72 after subtracting 468 from 540.
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 13:
If we divide 720 by 78, we get 9 and a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 6582.4230769
If we take 702 away from 720, we end up 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.

Step 14:
78 goes into 180 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 6582.42307692
Deduct 156 from 180 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 6582.42307692 and a remainder of 2.4e-08.