We're dividing 513884 by 78 
Our goal is to divide 513884 by 78.

Going ahead to step 1:
The number 78 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
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:
The number 78 fits into 51 0 times, leaving a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 78

Going ahead to step 3:
78 can be fit into 513 6 times, resulting in a remainder of 45.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 468 from 513, we get 45.
Take the next digit (8) from the dividend and append it to 45, then repeat: 458 / 78

Moving on to step 4:
The number 78 fits into 458 5 times, leaving a remainder of 68.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Deduct 390 from 458 and we're left with 68.
Append the next digit (8) from the dividend to 68 and continue with: 688 / 78

Moving on to step 5:
688 divided by 78 is 8 with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 658.0
Subtract 624 from 688 to get 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 78

Going ahead to step 6:
644 divided by 78 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 6588.0
Deduct 624 from 644 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 6588.2
Deduct 156 from 200 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
440 divided by 78 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6588.25
The remainder is 50 after subtracting 390 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
78 can be fit into 500 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 6588.256
Subtracting 468 from 500 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
320 divided by 78 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 6588.2564
If we take 312 away from 320, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 78 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 6588.25641
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
The number 78 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6588.25641
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
The number 78 fits into 200 2 times, leaving a remainder of 44.
The next digit of our result is 2. 
Result so far: 6588.2564102
Deduct 156 from 200 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 14:
When dividing 440 by 78, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6588.25641025
Subtract 390 from 440 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 6588.25641025 and a remainder of 5e-08.