We look at the division of 129072 by 45 
We want to divide 129072 by 45.

Going ahead to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 45

On to step 2:
45 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 45

Moving on to step 3:
The number 45 fits into 129 2 times, leaving a remainder of 39.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 39 after subtracting 90 from 129.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 45

Advancing to step 4:
The number 45 fits into 390 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 28.0
The remainder is 30 after subtracting 360 from 390.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 45

Advancing to step 5:
45 can be fit into 307 6 times, resulting in a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 286.0
Subtracting 270 from 307 leaves us with 37.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 45

On to step 6:
45 goes into 372 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2868.0
The remainder is 12 after subtracting 360 from 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
The number 45 fits into 120 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 2868.2
If we subtract 90 from 120, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 2868.26
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 2868.266
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 2868.266 with a remainder of 0.003.