We look at the division of 11172334 by 966 
Our goal is to divide 11172334 by 966.

Advancing to step 1:
The number 966 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 966

On to step 2:
If we divide 11 by 966, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 966

Advancing to step 3:
When dividing 111 by 966, we get 0 with a remainder of 111.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 111, we end up with 111.
Fetch the next digit (7) from the dividend, attach it to 111 and continue: 1117 / 966

On to step 4:
966 can be fit into 1117 1 times, resulting in a remainder of 151.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 966 from 1117 leaves us with 151.
Fetch the next digit (2) from the dividend, attach it to 151 and continue: 1512 / 966

Moving on to step 5:
The number 966 fits into 1512 1 times, leaving a remainder of 546.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 546 after subtracting 966 from 1512.
Include the next digit (3) from the dividend after 546, then repeat: 5463 / 966

Going ahead to step 6:
If we divide 5463 by 966, we get 5 and a remainder of 633.
Put 5 as the next digit of the answer. 
Result so far: 115.0
The remainder is 633 after subtracting 4830 from 5463.
Fetch the next digit (3) from the dividend, attach it to 633 and continue: 6333 / 966

Let's proceed to step 7:
The number 966 fits into 6333 6 times, leaving a remainder of 537.
Use 6 as the next digit of our solution. 
Result so far: 1156.0
If we subtract 5796 from 6333, we get 537.
Append the next digit (4) from the dividend to 537 and continue with: 5374 / 966

Step 8:
The number 966 fits into 5374 5 times, leaving a remainder of 544.
Use 5 as the next digit of our solution. 
Result so far: 11565.0
The remainder is 544 after subtracting 4830 from 5374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

On to step 9:
966 can be fit into 5440 5 times, resulting in a remainder of 610.
Record the quotient 5 as the next digit in the result. 
Result so far: 11565.5
Subtract 4830 from 5440 to get 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Moving on to step 10:
966 goes into 6100 6 times with a remainder of 304.
Record the quotient 6 as the next digit in the result. 
Result so far: 11565.56
Subtracting 5796 from 6100 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Moving on to step 11:
966 goes into 3040 3 times with a remainder of 142.
Record the quotient 3 as the next digit in the result. 
Result so far: 11565.563
Deduct 2898 from 3040 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Step 12:
When dividing 1420 by 966, we get 1 with a remainder of 454.
Use 1 as the next digit of our solution. 
Result so far: 11565.5631
If we subtract 966 from 1420, we get 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Moving on to step 13:
4540 divided by 966 is 4 with a remainder of 676.
The number 4 becomes the next digit in our result. 
Result so far: 11565.56314
If we subtract 3864 from 4540, we get 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

On to step 14:
966 goes into 6760 6 times with a remainder of 964.
Put 6 as the next digit of the answer. 
Result so far: 11565.563146
If we take 5796 away from 6760, we end up with 964.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9640, and continue the process.

Let's proceed to step 15:
The number 966 fits into 9640 9 times, leaving a remainder of 946.
Write down 9 as next digit of the result. 
Result so far: 11565.5631469
Subtract 8694 from 9640 to get 946.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9460, and continue the process.

Moving on to step 16:
The number 966 fits into 9460 9 times, leaving a remainder of 766.
The number 9 becomes the next digit in our result. 
Result so far: 11565.56314699
If we take 8694 away from 9460, we end up with 766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7660, and continue the process.

In conclusion, the division gives 11565.56314699 with a balance of 7.66e-07.