174866 ÷ 72 
Our goal is to divide 174866 by 72.

Advancing to step 1:
If we divide 1 by 72, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 72

Moving on to step 2:
When dividing 17 by 72, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 72

Advancing to step 3:
The number 72 fits into 174 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 144 from 174 to get 30.
Grab the next digit (8) from the dividend, add it to 30, then carry on: 308 / 72

Going ahead to step 4:
72 goes into 308 4 times with a remainder of 20.
The next digit of our result is 4. 
Result so far: 24.0
Subtract 288 from 308 to get 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 72

Moving on to step 5:
When dividing 206 by 72, we get 2 with a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 242.0
The remainder is 62 after subtracting 144 from 206.
Grab the next digit (6) from the dividend, add it to 62, then carry on: 626 / 72

Moving on to step 6:
72 can be fit into 626 8 times, resulting in a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 2428.0
Deduct 576 from 626 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.

Let's proceed to step 7:
72 can be fit into 500 6 times, resulting in a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 2428.6
The remainder is 68 after subtracting 432 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
The number 72 fits into 680 9 times, leaving a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 2428.69
Subtract 648 from 680 to 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.

On to step 9:
320 divided by 72 is 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 2428.694
Deduct 288 from 320 and we're left 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.

Let's proceed to step 10:
320 divided by 72 is 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 2428.6944
Subtracting 288 from 320 leaves us 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 outcome is 2428.6944, with a leftover of 0.00032.