Let's divide 330833 by 45
We're looking to find how many times 45 goes into 330833.

Going ahead to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 45

Going ahead to step 2:
45 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 45

Advancing to step 3:
When dividing 330 by 45, we get 7 with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 315 from 330 to get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 45

Let's proceed to step 4:
158 divided by 45 is 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 73.0
Deduct 135 from 158 and we're left with 23.
Take the next digit (3) from the dividend and append it to 23, then repeat: 233 / 45

Going ahead to step 5:
45 can be fit into 233 5 times, resulting in a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 735.0
Subtract 225 from 233 to get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 45

Advancing to step 6:
45 goes into 83 1 times with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 7351.0
If we take 45 away from 83, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
When dividing 380 by 45, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 7351.8
If we take 360 away from 380, we end up 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.

Moving on to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 7351.84
Subtract 180 from 200 to 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.

Let's proceed to step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 7351.844
Deduct 180 from 200 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.

The quotient of the division is 7351.844, and the remainder is 0.002.