We look at the division of 10753783 by 966 
We're looking to find how many times 966 goes into 10753783.

Let's proceed to step 1:
When dividing 1 by 966, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 966

Going ahead to step 2:
When dividing 10 by 966, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 966

Let's proceed to step 3:
966 can be fit into 107 0 times, resulting in a remainder of 107.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 107 after subtracting 0 from 107.
Include the next digit (5) from the dividend after 107, then repeat: 1075 / 966

On to step 4:
If we divide 1075 by 966, we get 1 and a remainder of 109.
The next digit of our result is 1. 
Result so far: 1.0
If we take 966 away from 1075, we end up with 109.
Bring next digit (3) of the dividend behind the 109 and repeat the process: 1093 / 966

Advancing to step 5:
If we divide 1093 by 966, we get 1 and a remainder of 127.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 966 from 1093 and we're left with 127.
Grab the next digit (7) from the dividend, add it to 127, then carry on: 1277 / 966

Moving on to step 6:
When dividing 1277 by 966, we get 1 with a remainder of 311.
The next digit of our result is 1. 
Result so far: 111.0
If we take 966 away from 1277, we end up with 311.
Grab the next digit (8) from the dividend, add it to 311, then carry on: 3118 / 966

Moving on to step 7:
966 goes into 3118 3 times with a remainder of 220.
The number 3 becomes the next digit in our result. 
Result so far: 1113.0
Subtract 2898 from 3118 to get 220.
Take the next digit (3) from the dividend and append it to 220, then repeat: 2203 / 966

On to step 8:
The number 966 fits into 2203 2 times, leaving a remainder of 271.
Write down 2 as next digit of the result. 
Result so far: 11132.0
Deduct 1932 from 2203 and we're left with 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Step 9:
When dividing 2710 by 966, we get 2 with a remainder of 778.
The number 2 becomes the next digit in our result. 
Result so far: 11132.2
Subtract 1932 from 2710 to get 778.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7780, and continue the process.

Moving on to step 10:
The number 966 fits into 7780 8 times, leaving a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 11132.28
Deduct 7728 from 7780 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
If we divide 520 by 966, we get 0 and a remainder of 520.
The number 0 becomes the next digit in our result. 
Result so far: 11132.28
If we subtract 0 from 520, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Let's proceed to step 12:
The number 966 fits into 5200 5 times, leaving a remainder of 370.
The next digit of our result is 5. 
Result so far: 11132.2805
If we subtract 4830 from 5200, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Step 13:
3700 divided by 966 is 3 with a remainder of 802.
Use 3 as the next digit of our solution. 
Result so far: 11132.28053
If we subtract 2898 from 3700, we get 802.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8020, and continue the process.

Step 14:
8020 divided by 966 is 8 with a remainder of 292.
Write down 8 as next digit of the result. 
Result so far: 11132.280538
Subtract 7728 from 8020 to get 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Advancing to step 15:
When dividing 2920 by 966, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 11132.2805383
Subtract 2898 from 2920 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 16:
220 divided by 966 is 0 with a remainder of 220.
The number 0 becomes the next digit in our result. 
Result so far: 11132.2805383
Subtracting 0 from 220 leaves us with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

The final outcome is 11132.2805383, with a leftover of 2.2e-07.