10945684 ÷ 965 
Let's see how many times 965 fits into 10945684.

Moving on to step 1:
The number 965 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 965

Let's proceed to step 2:
If we divide 10 by 965, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 965

Going ahead to step 3:
109 divided by 965 is 0 with a remainder of 109.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 109, we get 109.
Grab the next digit (4) from the dividend, add it to 109, then carry on: 1094 / 965

Going ahead to step 4:
965 can be fit into 1094 1 times, resulting in a remainder of 129.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 965 away from 1094, we end up with 129.
Append the next digit (5) from the dividend to 129 and continue with: 1295 / 965

Let's proceed to step 5:
965 can be fit into 1295 1 times, resulting in a remainder of 330.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 965 away from 1295, we end up with 330.
Include the next digit (6) from the dividend after 330, then repeat: 3306 / 965

Moving on to step 6:
965 can be fit into 3306 3 times, resulting in a remainder of 411.
The next digit of our result is 3. 
Result so far: 113.0
The remainder is 411 after subtracting 2895 from 3306.
Include the next digit (8) from the dividend after 411, then repeat: 4118 / 965

On to step 7:
965 goes into 4118 4 times with a remainder of 258.
The next digit of our result is 4. 
Result so far: 1134.0
Deduct 3860 from 4118 and we're left with 258.
Fetch the next digit (4) from the dividend, attach it to 258 and continue: 2584 / 965

Let's proceed to step 8:
The number 965 fits into 2584 2 times, leaving a remainder of 654.
Use 2 as the next digit of our solution. 
Result so far: 11342.0
Subtracting 1930 from 2584 leaves us with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Let's proceed to step 9:
6540 divided by 965 is 6 with a remainder of 750.
Use 6 as the next digit of our solution. 
Result so far: 11342.6
Subtract 5790 from 6540 to get 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7500, and continue the process.

Going ahead to step 10:
965 can be fit into 7500 7 times, resulting in a remainder of 745.
Record the quotient 7 as the next digit in the result. 
Result so far: 11342.67
If we subtract 6755 from 7500, we get 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7450, and continue the process.

Going ahead to step 11:
965 can be fit into 7450 7 times, resulting in a remainder of 695.
Use 7 as the next digit of our solution. 
Result so far: 11342.677
The remainder is 695 after subtracting 6755 from 7450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6950, and continue the process.

After the division, we end up with 11342.677 and a remainder of 0.0695.