We're dividing 824857 by 78 
Let's see how many times 78 fits into 824857.

Step 1:
The number 78 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 78

Step 2:
78 can be fit into 82 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 78 from 82, we get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 78

Going ahead to step 3:
If we divide 44 by 78, we get 0 and a remainder of 44.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 44 leaves us with 44.
Append the next digit (8) from the dividend to 44 and continue with: 448 / 78

On to step 4:
If we divide 448 by 78, we get 5 and a remainder of 58.
Write down 5 as next digit of the result. 
Result so far: 105.0
Subtract 390 from 448 to get 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 78

On to step 5:
78 can be fit into 585 7 times, resulting in a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 1057.0
Subtracting 546 from 585 leaves us with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 78

On to step 6:
78 can be fit into 397 5 times, resulting in a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 10575.0
Deduct 390 from 397 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
When dividing 70 by 78, we get 0 with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 10575.0
If we take 0 away from 70, 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.

Advancing to step 8:
78 can be fit into 700 8 times, resulting in a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 10575.08
Subtracting 624 from 700 leaves us 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.

Moving on to step 9:
The number 78 fits into 760 9 times, leaving a remainder of 58.
The next digit of our result is 9. 
Result so far: 10575.089
Deduct 702 from 760 and we're left with 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 10:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 10575.0897
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.

Let's proceed to step 11:
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: 10575.08974
Deduct 312 from 340 and we're left 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 12:
78 can be fit into 280 3 times, resulting in a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 10575.089743
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.

Advancing to step 13:
460 divided by 78 is 5 with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 10575.0897435
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.

Moving on to step 14:
The number 78 fits into 700 8 times, leaving a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 10575.08974358
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.

The final result is 10575.08974358 with a remainder of 7.6e-08.