Let's divide 2965 by 3
We want to figure out the number of times 2965 can be divided by 3.

Advancing to step 1:
3 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 3

Step 2:
The number 3 fits into 29 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 27 from 29 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Advancing to step 3:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 98.0
Deduct 24 from 26 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

On to step 4:
3 goes into 25 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 988.0
Subtracting 24 from 25 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 5:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 988.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 988.33
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 988.33 with a remaining 0.001.