We look at the division of 10754580 by 966 
Our goal is to divide 10754580 by 966.

On to step 1:
966 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 966

Going ahead to step 2:
If we divide 10 by 966, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 966

Going ahead to step 3:
When dividing 107 by 966, we get 0 with a remainder of 107.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 107 and we're left with 107.
Grab the next digit (5) from the dividend, add it to 107, then carry on: 1075 / 966

Let's proceed to step 4:
966 can be fit into 1075 1 times, resulting in a remainder of 109.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 966 from 1075 leaves us with 109.
Take the next digit (4) from the dividend and append it to 109, then repeat: 1094 / 966

Moving on to step 5:
When dividing 1094 by 966, we get 1 with a remainder of 128.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 966 from 1094 leaves us with 128.
Fetch the next digit (5) from the dividend, attach it to 128 and continue: 1285 / 966

Step 6:
966 goes into 1285 1 times with a remainder of 319.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 966 from 1285, we get 319.
Bring next digit (8) of the dividend behind the 319 and repeat the process: 3198 / 966

Step 7:
3198 divided by 966 is 3 with a remainder of 300.
Put 3 as the next digit of the answer. 
Result so far: 1113.0
If we subtract 2898 from 3198, we get 300.
Bring next digit (0) of the dividend behind the 300 and repeat the process: 3000 / 966

Moving on to step 8:
3000 divided by 966 is 3 with a remainder of 102.
The number 3 becomes the next digit in our result. 
Result so far: 11133.0
The remainder is 102 after subtracting 2898 from 3000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Let's proceed to step 9:
The number 966 fits into 1020 1 times, leaving a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 11133.1
If we subtract 966 from 1020, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 10:
If we divide 540 by 966, we get 0 and a remainder of 540.
The next digit of our result is 0. 
Result so far: 11133.1
If we subtract 0 from 540, we get 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Let's proceed to step 11:
966 can be fit into 5400 5 times, resulting in a remainder of 570.
The number 5 becomes the next digit in our result. 
Result so far: 11133.105
Subtract 4830 from 5400 to get 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5700, and continue the process.

On to step 12:
966 can be fit into 5700 5 times, resulting in a remainder of 870.
Use 5 as the next digit of our solution. 
Result so far: 11133.1055
The remainder is 870 after subtracting 4830 from 5700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

In conclusion, the division gives 11133.1055 with a balance of 0.0087.