We look at the division of 48729 by 45 
Let's see how many times 45 fits into 48729.

Step 1:
45 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.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 45

Advancing to step 2:
48 divided by 45 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 45 from 48.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 45

Going ahead to step 3:
45 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 45

Step 4:
45 can be fit into 372 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtracting 360 from 372 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 45

On to step 5:
129 divided by 45 is 2 with a remainder of 39.
The next digit of our result is 2. 
Result so far: 1082.0
The remainder is 39 after subtracting 90 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 6:
45 can be fit into 390 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 1082.8
If we subtract 360 from 390, 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.

Moving on to step 7:
If we divide 300 by 45, we get 6 and a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 1082.86
Subtract 270 from 300 to 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.

On to step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 1082.866
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.

In conclusion, the division gives 1082.866 with a balance of 0.003.