580382 ÷ 45 
Our goal is to divide 580382 by 45.

Going ahead to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 45

Step 2:
If we divide 58 by 45, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 58 to get 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 45

On to step 3:
45 goes into 130 2 times with a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 90 from 130 and we're left with 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 45

Moving on to step 4:
If we divide 403 by 45, we get 8 and a remainder of 43.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Deduct 360 from 403 and we're left with 43.
Take the next digit (8) from the dividend and append it to 43, then repeat: 438 / 45

Moving on to step 5:
If we divide 438 by 45, we get 9 and a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 1289.0
The remainder is 33 after subtracting 405 from 438.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 45

Let's proceed to step 6:
The number 45 fits into 332 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 12897.0
The remainder is 17 after subtracting 315 from 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
If we divide 170 by 45, we get 3 and a remainder of 35.
The next digit of our result is 3. 
Result so far: 12897.3
The remainder is 35 after subtracting 135 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 12897.37
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
If we divide 350 by 45, we get 7 and a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 12897.377
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 12897.377 and a remainder of 0.0035.