We're dividing 564817 by 78 
We're looking to find how many times 78 goes into 564817.

On to step 1:
78 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 78

On to step 2:
56 divided by 78 is 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Take the next digit (4) from the dividend and append it to 56, then repeat: 564 / 78

Moving on to step 3:
The number 78 fits into 564 7 times, leaving a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 546 from 564 leaves us with 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 78

Moving on to step 4:
The number 78 fits into 188 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 72.0
The remainder is 32 after subtracting 156 from 188.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 78

Advancing to step 5:
321 divided by 78 is 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 724.0
If we take 312 away from 321, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 78

Going ahead to step 6:
The number 78 fits into 97 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 7241.0
Deduct 78 from 97 and we're left 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.

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: 7241.2
Subtracting 156 from 190 leaves us 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.

Advancing to step 8:
When dividing 340 by 78, we get 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 7241.24
Subtract 312 from 340 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 78, we get 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 7241.243
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 10:
The number 78 fits into 460 5 times, leaving a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 7241.2435
If we take 390 away from 460, we end up 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.

On to step 11:
700 divided by 78 is 8 with a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 7241.24358
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 12:
78 goes into 760 9 times with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 7241.243589
The remainder is 58 after subtracting 702 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 13:
If we divide 580 by 78, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 7241.2435897
Subtract 546 from 580 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
If we divide 340 by 78, we get 4 and a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 7241.24358974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 7241.24358974 with a remainder of 2.8e-08.