We're dividing 11031611 by 966 
Our goal is to divide 11031611 by 966.

On to step 1:
If we divide 1 by 966, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 966

Step 2:
966 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 966

On to step 3:
110 divided by 966 is 0 with a remainder of 110.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 110 and we're left with 110.
Take the next digit (3) from the dividend and append it to 110, then repeat: 1103 / 966

Moving on to step 4:
The number 966 fits into 1103 1 times, leaving a remainder of 137.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 966 from 1103 to get 137.
Append the next digit (1) from the dividend to 137 and continue with: 1371 / 966

Going ahead to step 5:
966 can be fit into 1371 1 times, resulting in a remainder of 405.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 405 after subtracting 966 from 1371.
Bring next digit (6) of the dividend behind the 405 and repeat the process: 4056 / 966

Step 6:
If we divide 4056 by 966, we get 4 and a remainder of 192.
The next digit of our result is 4. 
Result so far: 114.0
If we take 3864 away from 4056, we end up with 192.
Bring next digit (1) of the dividend behind the 192 and repeat the process: 1921 / 966

Advancing to step 7:
1921 divided by 966 is 1 with a remainder of 955.
Write down 1 as next digit of the result. 
Result so far: 1141.0
Subtract 966 from 1921 to get 955.
Append the next digit (1) from the dividend to 955 and continue with: 9551 / 966

Moving on to step 8:
If we divide 9551 by 966, we get 9 and a remainder of 857.
Record the quotient 9 as the next digit in the result. 
Result so far: 11419.0
The remainder is 857 after subtracting 8694 from 9551.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8570, and continue the process.

On to step 9:
966 goes into 8570 8 times with a remainder of 842.
Record the quotient 8 as the next digit in the result. 
Result so far: 11419.8
Deduct 7728 from 8570 and we're left with 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8420, and continue the process.

Advancing to step 10:
966 can be fit into 8420 8 times, resulting in a remainder of 692.
The number 8 becomes the next digit in our result. 
Result so far: 11419.88
Subtract 7728 from 8420 to get 692.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6920, and continue the process.

In conclusion, the division gives 11419.88 with a balance of 0.692.