We're dividing 172126 by 41 
We're looking to find how many times 41 goes into 172126.

Moving on to step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
The next digit of our result is 0. 
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 / 41

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
Subtract 0 from 17 to get 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 41

Advancing to step 3:
When dividing 172 by 41, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 164 from 172, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 41

Let's proceed to step 4:
41 can be fit into 81 1 times, resulting in a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
The remainder is 40 after subtracting 41 from 81.
Take the next digit (2) from the dividend and append it to 40, then repeat: 402 / 41

Step 5:
402 divided by 41 is 9 with a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 419.0
Subtract 369 from 402 to get 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 41

Let's proceed to step 6:
When dividing 336 by 41, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 4198.0
The remainder is 8 after subtracting 328 from 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
41 can be fit into 80 1 times, resulting in a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 4198.1
The remainder is 39 after subtracting 41 from 80.
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 8:
41 goes into 390 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 4198.19
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 9:
210 divided by 41 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4198.195
Deduct 205 from 210 and we're left 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 10:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 4198.1951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
When dividing 90 by 41, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4198.19512
Subtracting 82 from 90 leaves us 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 12:
If we divide 80 by 41, we get 1 and a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 4198.195121
Subtract 41 from 80 to get 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 13:
390 divided by 41 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 4198.1951219
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.

On to step 14:
41 goes into 210 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4198.19512195
Deduct 205 from 210 and we're left 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.

The final result is 4198.19512195 with a remainder of 5e-09.