We look at the division of 566182 by 78 
We're looking to find how many times 78 goes into 566182.

Advancing to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
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

Moving on to step 2:
If we divide 56 by 78, we get 0 and a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Fetch the next digit (6) from the dividend, attach it to 56 and continue: 566 / 78

Moving on to step 3:
The number 78 fits into 566 7 times, leaving a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 546 away from 566, we end up with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 78

Step 4:
78 goes into 201 2 times with a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we subtract 156 from 201, we get 45.
Fetch the next digit (8) from the dividend, attach it to 45 and continue: 458 / 78

Advancing to step 5:
When dividing 458 by 78, we get 5 with a remainder of 68.
Write down 5 as next digit of the result. 
Result so far: 725.0
Subtract 390 from 458 to get 68.
Bring next digit (2) of the dividend behind the 68 and repeat the process: 682 / 78

Step 6:
If we divide 682 by 78, we get 8 and a remainder of 58.
The next digit of our result is 8. 
Result so far: 7258.0
The remainder is 58 after subtracting 624 from 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
If we divide 580 by 78, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 7258.7
Deduct 546 from 580 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.

Step 8:
78 can be fit into 340 4 times, resulting in a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 7258.74
If we take 312 away from 340, we end up 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:
280 divided by 78 is 3 with a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 7258.743
Deduct 234 from 280 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
78 goes into 460 5 times with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 7258.7435
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 11:
700 divided by 78 is 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 7258.74358
The remainder is 76 after subtracting 624 from 700.
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:
78 goes into 760 9 times with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 7258.743589
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.

Moving on to step 13:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 7258.7435897
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.

On to step 14:
78 can be fit into 340 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 7258.74358974
If we subtract 312 from 340, we 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.

Our division results in 7258.74358974 with a remaining 2.8e-08.