We look at the division of 96713674 by 966 
Let's see how many times 966 fits into 96713674.

Going ahead to step 1:
966 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 966

Advancing to step 2:
The number 966 fits into 96 0 times, leaving a remainder of 96.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 96 leaves us with 96.
Fetch the next digit (7) from the dividend, attach it to 96 and continue: 967 / 966

On to step 3:
966 goes into 967 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 966 from 967.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 966

On to step 4:
11 divided by 966 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 966

On to step 5:
The number 966 fits into 113 0 times, leaving a remainder of 113.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
If we subtract 0 from 113, we get 113.
Take the next digit (6) from the dividend and append it to 113, then repeat: 1136 / 966

Step 6:
966 can be fit into 1136 1 times, resulting in a remainder of 170.
Write down 1 as next digit of the result. 
Result so far: 1001.0
Subtracting 966 from 1136 leaves us with 170.
Fetch the next digit (7) from the dividend, attach it to 170 and continue: 1707 / 966

On to step 7:
966 goes into 1707 1 times with a remainder of 741.
Put 1 as the next digit of the answer. 
Result so far: 10011.0
If we take 966 away from 1707, we end up with 741.
Append the next digit (4) from the dividend to 741 and continue with: 7414 / 966

Moving on to step 8:
7414 divided by 966 is 7 with a remainder of 652.
Use 7 as the next digit of our solution. 
Result so far: 100117.0
If we take 6762 away from 7414, we end up with 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

Moving on to step 9:
6520 divided by 966 is 6 with a remainder of 724.
Write down 6 as next digit of the result. 
Result so far: 100117.6
If we take 5796 away from 6520, we end up with 724.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7240, and continue the process.

Let's proceed to step 10:
When dividing 7240 by 966, we get 7 with a remainder of 478.
Use 7 as the next digit of our solution. 
Result so far: 100117.67
Subtract 6762 from 7240 to get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Let's proceed to step 11:
966 can be fit into 4780 4 times, resulting in a remainder of 916.
Write down 4 as next digit of the result. 
Result so far: 100117.674
Subtract 3864 from 4780 to get 916.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9160, and continue the process.

Let's proceed to step 12:
If we divide 9160 by 966, we get 9 and a remainder of 466.
Write down 9 as next digit of the result. 
Result so far: 100117.6749
If we take 8694 away from 9160, we end up with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Step 13:
4660 divided by 966 is 4 with a remainder of 796.
The number 4 becomes the next digit in our result. 
Result so far: 100117.67494
Subtracting 3864 from 4660 leaves us with 796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

On to step 14:
If we divide 7960 by 966, we get 8 and a remainder of 232.
Write down 8 as next digit of the result. 
Result so far: 100117.674948
Subtract 7728 from 7960 to get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 15:
966 goes into 2320 2 times with a remainder of 388.
The number 2 becomes the next digit in our result. 
Result so far: 100117.6749482
Deduct 1932 from 2320 and we're left with 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

On to step 16:
966 goes into 3880 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 100117.67494824
If we subtract 3864 from 3880, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 100117.67494824 with a balance of 1.6e-08.