We divide 458566 by 72
We want to divide 458566 by 72.

Moving on to step 1:
4 divided by 72 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 72

Moving on to step 2:
When dividing 45 by 72, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 72

Step 3:
458 divided by 72 is 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 432 from 458 to get 26.
Take the next digit (5) from the dividend and append it to 26, then repeat: 265 / 72

Going ahead to step 4:
72 can be fit into 265 3 times, resulting in a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
Subtract 216 from 265 to get 49.
Take the next digit (6) from the dividend and append it to 49, then repeat: 496 / 72

On to step 5:
72 can be fit into 496 6 times, resulting in a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 636.0
If we subtract 432 from 496, we get 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 72

Going ahead to step 6:
If we divide 646 by 72, we get 8 and a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 6368.0
The remainder is 70 after subtracting 576 from 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
If we divide 700 by 72, we get 9 and a remainder of 52.
Record the quotient 9 as the next digit in the result. 
Result so far: 6368.9
Subtracting 648 from 700 leaves us 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.

On to step 8:
If we divide 520 by 72, we get 7 and a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 6368.97
If we subtract 504 from 520, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 72, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 6368.972
If we take 144 away from 160, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
160 divided by 72 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 6368.9722
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 6368.9722, and the remainder is 0.00016.