We look at the division of 517438 by 72 
Our goal is to divide 517438 by 72.

Step 1:
The number 72 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 72

Moving on to step 2:
When dividing 51 by 72, we get 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 72

Step 3:
517 divided by 72 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 504 away from 517, we end up with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 72

Moving on to step 4:
If we divide 134 by 72, we get 1 and a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 71.0
If we take 72 away from 134, we end up with 62.
Bring next digit (3) of the dividend behind the 62 and repeat the process: 623 / 72

Step 5:
72 can be fit into 623 8 times, resulting in a remainder of 47.
The number 8 becomes the next digit in our result. 
Result so far: 718.0
Subtract 576 from 623 to get 47.
Grab the next digit (8) from the dividend, add it to 47, then carry on: 478 / 72

Advancing to step 6:
478 divided by 72 is 6 with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 7186.0
If we take 432 away from 478, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
The number 72 fits into 460 6 times, leaving a remainder of 28.
The next digit of our result is 6. 
Result so far: 7186.6
The remainder is 28 after subtracting 432 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
When dividing 280 by 72, we get 3 with a remainder of 64.
Record the quotient 3 as the next digit in the result. 
Result so far: 7186.63
Subtract 216 from 280 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
72 goes into 640 8 times with a remainder of 64.
The next digit of our result is 8. 
Result so far: 7186.638
If we take 576 away from 640, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
The number 72 fits into 640 8 times, leaving a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 7186.6388
The remainder is 64 after subtracting 576 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 7186.6388 with a remainder of 0.00064.