We divide 434828 by 33
Our goal is to divide 434828 by 33.

On to step 1:
33 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 33

Moving on to step 2:
If we divide 43 by 33, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 33 from 43 to get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 33

Step 3:
33 goes into 104 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 99 from 104 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 33

Moving on to step 4:
When dividing 58 by 33, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 131.0
If we subtract 33 from 58, we get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 33

Step 5:
33 goes into 252 7 times with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 1317.0
Subtracting 231 from 252 leaves us with 21.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 33

Going ahead to step 6:
33 goes into 218 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 13176.0
The remainder is 20 after subtracting 198 from 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 33 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 13176.6
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
33 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 13176.6
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
When dividing 200 by 33, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 13176.606
Subtract 198 from 200 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
33 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 13176.606
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
33 goes into 200 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 13176.60606
Subtract 198 from 200 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
When dividing 20 by 33, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13176.60606
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 33 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 13176.6060606
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
When dividing 20 by 33, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13176.6060606
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 13176.6060606, and the remainder is 2e-08.