Let's divide 633005 by 45
Let's see how many times 45 fits into 633005.

Going ahead to step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 45

Let's proceed to step 2:
45 goes into 63 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 63 to get 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 45

Step 3:
183 divided by 45 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 180 from 183, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 45

Let's proceed to step 4:
45 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 45

Step 5:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1406.0
If we take 270 away from 300, we end up with 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 45

Advancing to step 6:
If we divide 305 by 45, we get 6 and a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 14066.0
If we take 270 away from 305, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
When dividing 350 by 45, we get 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 14066.7
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
45 can be fit into 350 7 times, resulting in a remainder of 35.
The next digit of our result is 7. 
Result so far: 14066.77
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 14066.77, with a leftover of 0.035.