581844 divided by 45 
Our goal is to divide 581844 by 45.

Going ahead to step 1:
45 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 45

Advancing to step 2:
When dividing 58 by 45, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 58 leaves us with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 45

Advancing 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
The remainder is 41 after subtracting 90 from 131.
Fetch the next digit (8) from the dividend, attach it to 41 and continue: 418 / 45

Moving on to step 4:
If we divide 418 by 45, we get 9 and a remainder of 13.
The next digit of our result is 9. 
Result so far: 129.0
The remainder is 13 after subtracting 405 from 418.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 45

Let's proceed to step 5:
When dividing 134 by 45, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 1292.0
The remainder is 44 after subtracting 90 from 134.
Grab the next digit (4) from the dividend, add it to 44, then carry on: 444 / 45

Step 6:
444 divided by 45 is 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 12929.0
Subtract 405 from 444 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
If we divide 390 by 45, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 12929.8
Subtract 360 from 390 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.

Going ahead to step 8:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 12929.86
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.

Moving on to step 9:
45 goes into 300 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 12929.866
The remainder is 30 after subtracting 270 from 300.
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 12929.866 with a balance of 0.003.