965628 ÷ 11 
Let's see how many times 11 fits into 965628.

Advancing to step 1:
11 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 11

Moving on to step 2:
If we divide 96 by 11, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 88 from 96 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 11

Moving on to step 3:
When dividing 85 by 11, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtract 77 from 85 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 11

Advancing to step 4:
11 can be fit into 86 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 877.0
Subtracting 77 from 86 leaves us with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 11

On to step 5:
11 can be fit into 92 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 8778.0
The remainder is 4 after subtracting 88 from 92.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 11

Advancing to step 6:
If we divide 48 by 11, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 87784.0
If we subtract 44 from 48, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 11 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 87784.3
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 11, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 87784.36
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 87784.363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 87784.3636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 87784.36363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
The number 11 fits into 70 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 87784.363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 87784.3636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 87784.36363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 87784.36363636 and a remainder of 4e-09.