We divide 538584 by 72
We want to divide 538584 by 72.

Step 1:
5 divided by 72 is 0 with 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 (3) from the dividend to 5 and continue with: 53 / 72

Step 2:
When dividing 53 by 72, we get 0 with a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Append the next digit (8) from the dividend to 53 and continue with: 538 / 72

Going ahead to step 3:
72 can be fit into 538 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 34 after subtracting 504 from 538.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 72

Let's proceed to step 4:
When dividing 345 by 72, we get 4 with a remainder of 57.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
The remainder is 57 after subtracting 288 from 345.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 72

On to step 5:
72 goes into 578 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 748.0
Subtract 576 from 578 to get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 72

Step 6:
24 divided by 72 is 0 with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 7480.0
Subtract 0 from 24 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
When dividing 240 by 72, we get 3 with a remainder of 24.
The next digit of our result is 3. 
Result so far: 7480.3
If we subtract 216 from 240, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
When dividing 240 by 72, we get 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 7480.33
Subtracting 216 from 240 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 7480.33, and the remainder is 0.024.