We're dividing 31405305 by 966 
Let's see how many times 966 fits into 31405305.

Let's proceed to step 1:
If we divide 3 by 966, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 966

Let's proceed to step 2:
If we divide 31 by 966, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 966

Advancing to step 3:
The number 966 fits into 314 0 times, leaving a remainder of 314.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 314 after subtracting 0 from 314.
Append the next digit (0) from the dividend to 314 and continue with: 3140 / 966

Advancing to step 4:
When dividing 3140 by 966, we get 3 with a remainder of 242.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 2898 from 3140 leaves us with 242.
Include the next digit (5) from the dividend after 242, then repeat: 2425 / 966

Moving on to step 5:
If we divide 2425 by 966, we get 2 and a remainder of 493.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Deduct 1932 from 2425 and we're left with 493.
Fetch the next digit (3) from the dividend, attach it to 493 and continue: 4933 / 966

Let's proceed to step 6:
966 goes into 4933 5 times with a remainder of 103.
Put 5 as the next digit of the answer. 
Result so far: 325.0
Subtract 4830 from 4933 to get 103.
Include the next digit (0) from the dividend after 103, then repeat: 1030 / 966

On to step 7:
The number 966 fits into 1030 1 times, leaving a remainder of 64.
The next digit of our result is 1. 
Result so far: 3251.0
If we subtract 966 from 1030, we get 64.
Take the next digit (5) from the dividend and append it to 64, then repeat: 645 / 966

Advancing to step 8:
645 divided by 966 is 0 with a remainder of 645.
Write down 0 as next digit of the result. 
Result so far: 32510.0
The remainder is 645 after subtracting 0 from 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6450, and continue the process.

On to step 9:
When dividing 6450 by 966, we get 6 with a remainder of 654.
Put 6 as the next digit of the answer. 
Result so far: 32510.6
Deduct 5796 from 6450 and we're left with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Let's proceed to step 10:
When dividing 6540 by 966, we get 6 with a remainder of 744.
The number 6 becomes the next digit in our result. 
Result so far: 32510.66
Subtracting 5796 from 6540 leaves us with 744.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7440, and continue the process.

Our division results in 32510.66 with a remaining 0.744.