33681823 divided by 966 
We want to divide 33681823 by 966.

On to step 1:
966 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 966

Moving on to step 2:
When dividing 33 by 966, we get 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 966

Going ahead to step 3:
The number 966 fits into 336 0 times, leaving a remainder of 336.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 336 leaves us with 336.
Take the next digit (8) from the dividend and append it to 336, then repeat: 3368 / 966

Advancing to step 4:
If we divide 3368 by 966, we get 3 and a remainder of 470.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 2898 from 3368, we get 470.
Take the next digit (1) from the dividend and append it to 470, then repeat: 4701 / 966

Let's proceed to step 5:
When dividing 4701 by 966, we get 4 with a remainder of 837.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we subtract 3864 from 4701, we get 837.
Bring next digit (8) of the dividend behind the 837 and repeat the process: 8378 / 966

Going ahead to step 6:
If we divide 8378 by 966, we get 8 and a remainder of 650.
The next digit of our result is 8. 
Result so far: 348.0
Subtract 7728 from 8378 to get 650.
Bring next digit (2) of the dividend behind the 650 and repeat the process: 6502 / 966

Moving on to step 7:
966 goes into 6502 6 times with a remainder of 706.
Record the quotient 6 as the next digit in the result. 
Result so far: 3486.0
If we subtract 5796 from 6502, we get 706.
Bring next digit (3) of the dividend behind the 706 and repeat the process: 7063 / 966

On to step 8:
The number 966 fits into 7063 7 times, leaving a remainder of 301.
Use 7 as the next digit of our solution. 
Result so far: 34867.0
The remainder is 301 after subtracting 6762 from 7063.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

Moving on to step 9:
When dividing 3010 by 966, we get 3 with a remainder of 112.
The number 3 becomes the next digit in our result. 
Result so far: 34867.3
If we subtract 2898 from 3010, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 10:
966 can be fit into 1120 1 times, resulting in a remainder of 154.
Use 1 as the next digit of our solution. 
Result so far: 34867.31
If we subtract 966 from 1120, we get 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 11:
1540 divided by 966 is 1 with a remainder of 574.
The next digit of our result is 1. 
Result so far: 34867.311
The remainder is 574 after subtracting 966 from 1540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

The final result is 34867.311 with a remainder of 0.0574.