We look at the division of 578311 by 78 
Our goal is to divide 578311 by 78.

Moving on to step 1:
The number 78 fits into 5 0 times, leaving 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.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 78

Advancing to step 2:
78 can be fit into 57 0 times, resulting in a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Grab the next digit (8) from the dividend, add it to 57, then carry on: 578 / 78

On to step 3:
The number 78 fits into 578 7 times, leaving a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 546 from 578 to get 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 78

Moving on to step 4:
78 goes into 323 4 times with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 74.0
The remainder is 11 after subtracting 312 from 323.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 78

Let's proceed to step 5:
When dividing 111 by 78, we get 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 741.0
Subtracting 78 from 111 leaves us with 33.
Bring next digit (1) of the dividend behind the 33 and repeat the process: 331 / 78

Step 6:
When dividing 331 by 78, we get 4 with a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 7414.0
Subtracting 312 from 331 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
If we divide 190 by 78, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 7414.2
Deduct 156 from 190 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
When dividing 340 by 78, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 7414.24
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 9:
The number 78 fits into 280 3 times, leaving a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 7414.243
The remainder is 46 after subtracting 234 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 10:
The number 78 fits into 460 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 7414.2435
Deduct 390 from 460 and we're left with 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 11:
78 can be fit into 700 8 times, resulting in a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 7414.24358
If we subtract 624 from 700, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
760 divided by 78 is 9 with a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 7414.243589
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 13:
If we divide 580 by 78, we get 7 and a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 7414.2435897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
When dividing 340 by 78, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 7414.24358974
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.

Our division results in 7414.24358974 with a remaining 2.8e-08.