171214 ÷ 41 
Our goal is to divide 171214 by 41.

Step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 41

Advancing to step 2:
17 divided by 41 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 41

On to step 3:
If we divide 171 by 41, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 164 from 171 and we're left with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 41

Let's proceed to step 4:
When dividing 72 by 41, we get 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtracting 41 from 72 leaves us with 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 41

Step 5:
When dividing 311 by 41, we get 7 with a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 417.0
Subtracting 287 from 311 leaves us with 24.
Take the next digit (4) from the dividend and append it to 24, then repeat: 244 / 41

Moving on to step 6:
244 divided by 41 is 5 with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 4175.0
If we take 205 away from 244, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
If we divide 390 by 41, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 4175.9
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
If we divide 210 by 41, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 4175.95
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
If we divide 50 by 41, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 4175.951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 4175.9512
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
When dividing 80 by 41, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 4175.95121
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 12:
The number 41 fits into 390 9 times, leaving a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 4175.951219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 13:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4175.9512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
If we divide 50 by 41, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 4175.95121951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 4175.95121951 and a remainder of 9e-09.