7965168 ÷ 966 
Our goal is to divide 7965168 by 966.

On to step 1:
The number 966 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 966

Moving on to step 2:
79 divided by 966 is 0 with a remainder of 79.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 79, we end up with 79.
Bring next digit (6) of the dividend behind the 79 and repeat the process: 796 / 966

On to step 3:
966 can be fit into 796 0 times, resulting in a remainder of 796.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 796 and we're left with 796.
Take the next digit (5) from the dividend and append it to 796, then repeat: 7965 / 966

Let's proceed to step 4:
966 can be fit into 7965 8 times, resulting in a remainder of 237.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 7728 from 7965 and we're left with 237.
Append the next digit (1) from the dividend to 237 and continue with: 2371 / 966

Let's proceed to step 5:
If we divide 2371 by 966, we get 2 and a remainder of 439.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtracting 1932 from 2371 leaves us with 439.
Bring next digit (6) of the dividend behind the 439 and repeat the process: 4396 / 966

Going ahead to step 6:
When dividing 4396 by 966, we get 4 with a remainder of 532.
Record the quotient 4 as the next digit in the result. 
Result so far: 824.0
Deduct 3864 from 4396 and we're left with 532.
Append the next digit (8) from the dividend to 532 and continue with: 5328 / 966

Let's proceed to step 7:
5328 divided by 966 is 5 with a remainder of 498.
Record the quotient 5 as the next digit in the result. 
Result so far: 8245.0
Subtract 4830 from 5328 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 8:
When dividing 4980 by 966, we get 5 with a remainder of 150.
Use 5 as the next digit of our solution. 
Result so far: 8245.5
Deduct 4830 from 4980 and we're left with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 9:
1500 divided by 966 is 1 with a remainder of 534.
Put 1 as the next digit of the answer. 
Result so far: 8245.51
Deduct 966 from 1500 and we're left with 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

Moving on to step 10:
The number 966 fits into 5340 5 times, leaving a remainder of 510.
Put 5 as the next digit of the answer. 
Result so far: 8245.515
Deduct 4830 from 5340 and we're left with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Advancing to step 11:
966 can be fit into 5100 5 times, resulting in a remainder of 270.
Write down 5 as next digit of the result. 
Result so far: 8245.5155
If we subtract 4830 from 5100, we get 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

The final outcome is 8245.5155, with a leftover of 0.0027.