We're dividing 310669 by 33 
Our goal is to divide 310669 by 33.

On to step 1:
When dividing 3 by 33, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 33

Going ahead to step 2:
33 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 33

On to step 3:
33 goes into 310 9 times with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 297 from 310, we get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 33

Going ahead to step 4:
The number 33 fits into 136 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 94.0
The remainder is 4 after subtracting 132 from 136.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 33

Step 5:
33 goes into 46 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 941.0
The remainder is 13 after subtracting 33 from 46.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 33

Moving on to step 6:
33 can be fit into 139 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 9414.0
Deduct 132 from 139 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
33 can be fit into 70 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 9414.2
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 33 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 9414.21
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 33 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 9414.212
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
When dividing 40 by 33, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 9414.2121
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
70 divided by 33 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 9414.21212
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
The number 33 fits into 40 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 9414.212121
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
When dividing 70 by 33, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 9414.2121212
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
40 divided by 33 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 9414.21212121
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 9414.21212121 with a balance of 7e-09.