413065 ÷ 33 
We want to divide 413065 by 33.

Going ahead to step 1:
If we divide 4 by 33, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 33

Step 2:
33 can be fit into 41 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 33 from 41 leaves us with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 33

Going ahead to step 3:
The number 33 fits into 83 2 times, leaving a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 66 from 83 and we're left with 17.
Append the next digit (0) from the dividend to 17 and continue with: 170 / 33

Going ahead to step 4:
If we divide 170 by 33, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 125.0
If we take 165 away from 170, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 33

Advancing to step 5:
33 can be fit into 56 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1251.0
Subtract 33 from 56 to get 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 33

Moving on to step 6:
When dividing 235 by 33, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 12517.0
Subtract 231 from 235 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 7:
33 can be fit into 40 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 12517.1
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.

Going ahead to step 8:
33 can be fit into 70 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12517.12
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.

On to step 9:
If we divide 40 by 33, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 12517.121
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.

Step 10:
If we divide 70 by 33, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 12517.1212
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.

Let's proceed to step 11:
The number 33 fits into 40 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 12517.12121
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.

Step 12:
33 goes into 70 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12517.121212
If we take 66 away from 70, we end up 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.

Step 13:
When dividing 40 by 33, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 12517.1212121
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
33 can be fit into 70 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 12517.12121212
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.

The final result is 12517.12121212 with a remainder of 4e-09.