We divide 3317214 by 966
We're looking to find how many times 966 goes into 3317214.

Moving on to step 1:
3 divided by 966 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 966

Going ahead to step 2:
The number 966 fits into 33 0 times, leaving a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Append the next digit (1) from the dividend to 33 and continue with: 331 / 966

Advancing to step 3:
When dividing 331 by 966, we get 0 with a remainder of 331.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 331, we get 331.
Include the next digit (7) from the dividend after 331, then repeat: 3317 / 966

On to step 4:
If we divide 3317 by 966, we get 3 and a remainder of 419.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 2898 from 3317 and we're left with 419.
Take the next digit (2) from the dividend and append it to 419, then repeat: 4192 / 966

Advancing to step 5:
966 can be fit into 4192 4 times, resulting in a remainder of 328.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 3864 from 4192, we get 328.
Grab the next digit (1) from the dividend, add it to 328, then carry on: 3281 / 966

Advancing to step 6:
When dividing 3281 by 966, we get 3 with a remainder of 383.
The next digit of our result is 3. 
Result so far: 343.0
Deduct 2898 from 3281 and we're left with 383.
Grab the next digit (4) from the dividend, add it to 383, then carry on: 3834 / 966

Step 7:
966 can be fit into 3834 3 times, resulting in a remainder of 936.
The number 3 becomes the next digit in our result. 
Result so far: 3433.0
Subtracting 2898 from 3834 leaves us with 936.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9360, and continue the process.

Going ahead to step 8:
If we divide 9360 by 966, we get 9 and a remainder of 666.
Put 9 as the next digit of the answer. 
Result so far: 3433.9
Subtracting 8694 from 9360 leaves us with 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Step 9:
6660 divided by 966 is 6 with a remainder of 864.
Use 6 as the next digit of our solution. 
Result so far: 3433.96
If we subtract 5796 from 6660, we get 864.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8640, and continue the process.

Let's proceed to step 10:
966 can be fit into 8640 8 times, resulting in a remainder of 912.
The next digit of our result is 8. 
Result so far: 3433.968
Deduct 7728 from 8640 and we're left with 912.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9120, and continue the process.

On to step 11:
966 can be fit into 9120 9 times, resulting in a remainder of 426.
Use 9 as the next digit of our solution. 
Result so far: 3433.9689
Subtract 8694 from 9120 to get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Advancing to step 12:
966 can be fit into 4260 4 times, resulting in a remainder of 396.
The next digit of our result is 4. 
Result so far: 3433.96894
Deduct 3864 from 4260 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Let's proceed to step 13:
If we divide 3960 by 966, we get 4 and a remainder of 96.
The next digit of our result is 4. 
Result so far: 3433.968944
The remainder is 96 after subtracting 3864 from 3960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

The final result is 3433.968944 with a remainder of 9.6e-06.