We divide 580224 by 61
We want to figure out the number of times 580224 can be divided by 61.

Going ahead to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 61

Step 2:
58 divided by 61 is 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 61

Advancing to step 3:
61 goes into 580 9 times with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 549 from 580 leaves us with 31.
Include the next digit (2) from the dividend after 31, then repeat: 312 / 61

Step 4:
If we divide 312 by 61, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 95.0
Subtracting 305 from 312 leaves us with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 61

Moving on to step 5:
If we divide 72 by 61, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 951.0
If we take 61 away from 72, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 61

Let's proceed to step 6:
If we divide 114 by 61, we get 1 and a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 9511.0
If we subtract 61 from 114, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
530 divided by 61 is 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 9511.8
Deduct 488 from 530 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
If we divide 420 by 61, we get 6 and a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 9511.86
The remainder is 54 after subtracting 366 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
61 goes into 540 8 times with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 9511.868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 10:
61 can be fit into 520 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 9511.8688
Subtract 488 from 520 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 9511.8688 with a balance of 0.00032.