We divide 173642 by 72
We want to divide 173642 by 72.

Let's proceed to step 1:
72 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 72

Step 2:
72 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 72

Step 3:
The number 72 fits into 173 2 times, leaving a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 144 from 173, we get 29.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 72

On to step 4:
72 can be fit into 296 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Deduct 288 from 296 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 72

Advancing to step 5:
84 divided by 72 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 241.0
Subtract 72 from 84 to get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 72

On to step 6:
72 can be fit into 122 1 times, resulting in a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 2411.0
Deduct 72 from 122 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
500 divided by 72 is 6 with a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 2411.6
Subtracting 432 from 500 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 8:
When dividing 680 by 72, we get 9 with a remainder of 32.
The next digit of our result is 9. 
Result so far: 2411.69
If we subtract 648 from 680, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
72 goes into 320 4 times with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 2411.694
If we subtract 288 from 320, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
The number 72 fits into 320 4 times, leaving a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 2411.6944
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 2411.6944 with a remainder of 0.00032.