Let's divide 6960 by 9
Let's see how many times 9 fits into 6960.

Let's proceed to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 9

Step 2:
If we divide 69 by 9, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 63 from 69, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

On to step 3:
9 goes into 66 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 77.0
If we subtract 63 from 66, we get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Moving on to step 4:
9 goes into 30 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 773.0
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 5:
If we divide 30 by 9, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 773.3
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
The number 9 fits into 30 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 773.33
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 773.33, and the remainder is 0.003.