We look at the division of 410366 by 33 
We want to figure out the number of times 410366 can be divided by 33.

Step 1:
The number 33 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 33

Let's proceed to step 2:
When dividing 41 by 33, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 33 from 41, we get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 33

Moving on to step 3:
80 divided by 33 is 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 66 from 80, we get 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 33

Going ahead to step 4:
When dividing 143 by 33, we get 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 124.0
Subtract 132 from 143 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 33

Step 5:
When dividing 116 by 33, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1243.0
Subtracting 99 from 116 leaves us with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 33

Step 6:
176 divided by 33 is 5 with a remainder of 11.
The next digit of our result is 5. 
Result so far: 12435.0
Subtracting 165 from 176 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
33 goes into 110 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 12435.3
Deduct 99 from 110 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
110 divided by 33 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 12435.33
Subtracting 99 from 110 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 12435.33, and the remainder is 0.011.