We look at the division of 584109 by 45 
We're looking to find how many times 45 goes into 584109.

Moving on to 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
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

Step 2:
45 can be fit into 58 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 45 from 58 leaves us with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 45

On to step 3:
134 divided by 45 is 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 90 from 134 and we're left with 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 45

Step 4:
45 goes into 441 9 times with a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Deduct 405 from 441 and we're left with 36.
Grab the next digit (0) from the dividend, add it to 36, then carry on: 360 / 45

Moving on to step 5:
The number 45 fits into 360 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 1298.0
The remainder is 0 after subtracting 360 from 360.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 45

Moving on to step 6:
9 divided by 45 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 12980.0
Subtract 0 from 9 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
45 goes into 90 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 12980.2
If we take 90 away from 90, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
45 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 12980.2
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
45 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 12980.2
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 12980.2 with a remainder of 0.0.