We're dividing 580754 by 72 
We're looking to find how many times 72 goes into 580754.

Going ahead to step 1:
72 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 72

Let's proceed to step 2:
The number 72 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 72

Going ahead to step 3:
72 can be fit into 580 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 576 from 580 to get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 72

On to step 4:
The number 72 fits into 47 0 times, leaving a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 80.0
Deduct 0 from 47 and we're left with 47.
Append the next digit (5) from the dividend to 47 and continue with: 475 / 72

Moving on to step 5:
72 can be fit into 475 6 times, resulting in a remainder of 43.
The next digit of our result is 6. 
Result so far: 806.0
Subtracting 432 from 475 leaves us with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 72

Let's proceed to step 6:
If we divide 434 by 72, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 8066.0
Subtracting 432 from 434 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 72 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8066.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 72, we get 2 and a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 8066.02
Subtracting 144 from 200 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
560 divided by 72 is 7 with a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 8066.027
Subtract 504 from 560 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
The number 72 fits into 560 7 times, leaving a remainder of 56.
The number 7 becomes the next digit in our result. 
Result so far: 8066.0277
If we subtract 504 from 560, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 8066.0277 with a remainder of 0.00056.