We're dividing 786824 by 75 
Let's see how many times 75 fits into 786824.

Let's proceed to step 1:
75 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 75

Let's proceed to step 2:
75 goes into 78 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 75 from 78, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 75

On to step 3:
When dividing 36 by 75, we get 0 with a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 36 and we're left with 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 75

Moving on to step 4:
When dividing 368 by 75, we get 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 104.0
Subtracting 300 from 368 leaves us with 68.
Fetch the next digit (2) from the dividend, attach it to 68 and continue: 682 / 75

On to step 5:
682 divided by 75 is 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 1049.0
Subtract 675 from 682 to get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 75

Going ahead to step 6:
75 goes into 74 0 times with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 10490.0
If we subtract 0 from 74, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 7:
The number 75 fits into 740 9 times, leaving a remainder of 65.
Write down 9 as next digit of the result. 
Result so far: 10490.9
The remainder is 65 after subtracting 675 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 8:
If we divide 650 by 75, we get 8 and a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 10490.98
Deduct 600 from 650 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 10490.986
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 10490.9866
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 10490.9866 with a remainder of 0.0005.