We look at the division of 7840823 by 966 
Let's see how many times 966 fits into 7840823.

Going ahead to step 1:
The number 966 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 966

Step 2:
If we divide 78 by 966, we get 0 and a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Append the next digit (4) from the dividend to 78 and continue with: 784 / 966

Advancing to step 3:
966 can be fit into 784 0 times, resulting in a remainder of 784.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 784 after subtracting 0 from 784.
Include the next digit (0) from the dividend after 784, then repeat: 7840 / 966

On to step 4:
7840 divided by 966 is 8 with a remainder of 112.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 7728 from 7840 to get 112.
Take the next digit (8) from the dividend and append it to 112, then repeat: 1128 / 966

Going ahead to step 5:
1128 divided by 966 is 1 with a remainder of 162.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Subtract 966 from 1128 to get 162.
Take the next digit (2) from the dividend and append it to 162, then repeat: 1622 / 966

Going ahead to step 6:
If we divide 1622 by 966, we get 1 and a remainder of 656.
Put 1 as the next digit of the answer. 
Result so far: 811.0
Subtracting 966 from 1622 leaves us with 656.
Append the next digit (3) from the dividend to 656 and continue with: 6563 / 966

Step 7:
966 can be fit into 6563 6 times, resulting in a remainder of 767.
Write down 6 as next digit of the result. 
Result so far: 8116.0
If we subtract 5796 from 6563, we get 767.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7670, and continue the process.

Moving on to step 8:
If we divide 7670 by 966, we get 7 and a remainder of 908.
Write down 7 as next digit of the result. 
Result so far: 8116.7
Deduct 6762 from 7670 and we're left with 908.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9080, and continue the process.

Going ahead to step 9:
966 can be fit into 9080 9 times, resulting in a remainder of 386.
The number 9 becomes the next digit in our result. 
Result so far: 8116.79
If we subtract 8694 from 9080, we get 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Let's proceed to step 10:
The number 966 fits into 3860 3 times, leaving a remainder of 962.
Use 3 as the next digit of our solution. 
Result so far: 8116.793
If we take 2898 away from 3860, we end up with 962.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9620, and continue the process.

Going ahead to step 11:
The number 966 fits into 9620 9 times, leaving a remainder of 926.
Write down 9 as next digit of the result. 
Result so far: 8116.7939
Subtracting 8694 from 9620 leaves us with 926.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9260, and continue the process.

On to step 12:
If we divide 9260 by 966, we get 9 and a remainder of 566.
The number 9 becomes the next digit in our result. 
Result so far: 8116.79399
If we take 8694 away from 9260, we end up with 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

After the division, we end up with 8116.79399 and a remainder of 0.000566.