We're dividing 825584 by 78 
We want to divide 825584 by 78.

Step 1:
8 divided by 78 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 78

Advancing to step 2:
The number 78 fits into 82 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 78 from 82.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 78

On to step 3:
78 can be fit into 45 0 times, resulting in a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 45 after subtracting 0 from 45.
Append the next digit (5) from the dividend to 45 and continue with: 455 / 78

Let's proceed to step 4:
If we divide 455 by 78, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 390 away from 455, we end up with 65.
Grab the next digit (8) from the dividend, add it to 65, then carry on: 658 / 78

On to step 5:
78 goes into 658 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 1058.0
Subtracting 624 from 658 leaves us with 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 78

Step 6:
78 can be fit into 344 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 10584.0
Deduct 312 from 344 and we're left 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.

On to step 7:
78 can be fit into 320 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 10584.4
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.

Going ahead to step 8:
78 can be fit into 80 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 10584.41
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
When dividing 20 by 78, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 10584.41
Deduct 0 from 20 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.

On to step 10:
200 divided by 78 is 2 with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 10584.4102
Subtracting 156 from 200 leaves us 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 11:
78 goes into 440 5 times with a remainder of 50.
The next digit of our result is 5. 
Result so far: 10584.41025
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 12:
When dividing 500 by 78, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 10584.410256
If we subtract 468 from 500, we get 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 13:
If we divide 320 by 78, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 10584.4102564
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
When dividing 80 by 78, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 10584.41025641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 10584.41025641 with a remainder of 2e-09.