We look at the division of 204179 by 45 
We want to divide 204179 by 45.

Going ahead to step 1:
45 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 45

Advancing to step 2:
The number 45 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 45

Let's proceed to step 3:
If we divide 204 by 45, we get 4 and a remainder of 24.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 180 from 204, we get 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 45

Let's proceed to step 4:
The number 45 fits into 241 5 times, leaving a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtract 225 from 241 to get 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 45

Moving on to step 5:
45 can be fit into 167 3 times, resulting in a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 453.0
If we subtract 135 from 167, we get 32.
Take the next digit (9) from the dividend and append it to 32, then repeat: 329 / 45

Going ahead to step 6:
If we divide 329 by 45, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 4537.0
Subtract 315 from 329 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
When dividing 140 by 45, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 4537.3
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
45 goes into 50 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 4537.31
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
45 goes into 50 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 4537.311
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 4537.311 with a remainder of 0.0005.