172971 ÷ 41 
Let's see how many times 41 fits into 172971.

Advancing to step 1:
41 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 41

Moving on to step 2:
41 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 41

Moving on to step 3:
41 can be fit into 172 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 164 from 172 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 41

Step 4:
41 can be fit into 89 2 times, resulting in a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we subtract 82 from 89, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 41

On to step 5:
When dividing 77 by 41, we get 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 421.0
Deduct 41 from 77 and we're left with 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 41

On to step 6:
41 can be fit into 361 8 times, resulting in a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 4218.0
If we take 328 away from 361, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
41 goes into 330 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 4218.8
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 4218.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 4218.804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
If we divide 360 by 41, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 4218.8048
Deduct 328 from 360 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.

Advancing to step 11:
41 goes into 320 7 times with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 4218.80487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 12:
The number 41 fits into 330 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 4218.804878
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4218.804878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
200 divided by 41 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 4218.80487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 4218.80487804 with a remainder of 3.6e-08.