431617 ÷ 72 
Our goal is to divide 431617 by 72.

Advancing to step 1:
72 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 72

Step 2:
72 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 72

Step 3:
72 goes into 431 5 times with a remainder of 71.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 360 from 431 leaves us with 71.
Fetch the next digit (6) from the dividend, attach it to 71 and continue: 716 / 72

Moving on to step 4:
716 divided by 72 is 9 with a remainder of 68.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Deduct 648 from 716 and we're left with 68.
Append the next digit (1) from the dividend to 68 and continue with: 681 / 72

On to step 5:
If we divide 681 by 72, we get 9 and a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 599.0
The remainder is 33 after subtracting 648 from 681.
Append the next digit (7) from the dividend to 33 and continue with: 337 / 72

Moving on to step 6:
72 goes into 337 4 times with a remainder of 49.
The number 4 becomes the next digit in our result. 
Result so far: 5994.0
Subtracting 288 from 337 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
If we divide 490 by 72, we get 6 and a remainder of 58.
The next digit of our result is 6. 
Result so far: 5994.6
Subtracting 432 from 490 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
When dividing 580 by 72, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 5994.68
If we take 576 away from 580, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
72 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5994.68
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
72 goes into 400 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 5994.6805
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
400 divided by 72 is 5 with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 5994.68055
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 5994.68055, with a leftover of 4e-05.