585481 divided by 45 
We're looking to find how many times 45 goes into 585481.

Step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 45

Advancing to step 2:
45 goes into 58 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 45 from 58 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 45

On to step 3:
If we divide 135 by 45, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 135 from 135, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 45

Moving on to step 4:
When dividing 4 by 45, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 130.0
If we subtract 0 from 4, we get 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 45

On to step 5:
If we divide 48 by 45, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1301.0
If we take 45 away from 48, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 45

Advancing to step 6:
If we divide 31 by 45, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 13010.0
If we subtract 0 from 31, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
45 can be fit into 310 6 times, resulting in a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 13010.6
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 13010.68
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 13010.688
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 13010.688 with a balance of 0.004.