We look at the division of 412942 by 33 
We want to figure out the number of times 412942 can be divided by 33.

Step 1:
33 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 33

Moving on to 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
If we subtract 33 from 41, we get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 33

On to step 3:
82 divided by 33 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 66 away from 82, we end up with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 33

Moving on to step 4:
169 divided by 33 is 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 125.0
Deduct 165 from 169 and we're left with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 33

Step 5:
44 divided by 33 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1251.0
If we subtract 33 from 44, we get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 33

Moving on to step 6:
33 goes into 112 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 12513.0
If we take 99 away from 112, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
130 divided by 33 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 12513.3
The remainder is 31 after subtracting 99 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 8:
33 can be fit into 310 9 times, resulting in a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 12513.39
The remainder is 13 after subtracting 297 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
When dividing 130 by 33, we get 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 12513.393
Subtracting 99 from 130 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 10:
33 goes into 310 9 times with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 12513.3939
Subtracting 297 from 310 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
130 divided by 33 is 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 12513.39393
Subtract 99 from 130 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
33 can be fit into 310 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 12513.393939
Deduct 297 from 310 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 13:
If we divide 130 by 33, we get 3 and a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 12513.3939393
Subtracting 99 from 130 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 14:
The number 33 fits into 310 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 12513.39393939
If we subtract 297 from 310, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 12513.39393939, and the remainder is 1.3e-08.