We're dividing 581433 by 45 
Let's see how many times 45 fits into 581433.

Moving on to step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 45

Step 2:
45 goes into 58 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 13 after subtracting 45 from 58.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 45

Moving on to step 3:
45 goes into 131 2 times with a remainder of 41.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 90 from 131 to get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 45

On to step 4:
45 goes into 414 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 129.0
If we subtract 405 from 414, we get 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 45

Let's proceed to step 5:
93 divided by 45 is 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 1292.0
If we subtract 90 from 93, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 45

Step 6:
45 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 12920.0
Subtract 0 from 33 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
When dividing 330 by 45, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 12920.7
The remainder is 15 after subtracting 315 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 45 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 12920.73
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 12920.733
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 12920.733 with a balance of 0.0015.