We're dividing 129514 by 41 
We're looking to find how many times 41 goes into 129514.

On to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 41

Let's proceed to step 2:
When dividing 12 by 41, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 41

Moving on to step 3:
When dividing 129 by 41, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 123 from 129 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 41

Moving on to step 4:
41 goes into 65 1 times with a remainder of 24.
The next digit of our result is 1. 
Result so far: 31.0
If we subtract 41 from 65, we get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 41

Advancing to step 5:
41 goes into 241 5 times with a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 315.0
The remainder is 36 after subtracting 205 from 241.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 41

Step 6:
If we divide 364 by 41, we get 8 and a remainder of 36.
The next digit of our result is 8. 
Result so far: 3158.0
Deduct 328 from 364 and we're left 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.

Step 7:
The number 41 fits into 360 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3158.8
The remainder is 32 after subtracting 328 from 360.
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 8:
The number 41 fits into 320 7 times, leaving a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 3158.87
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
330 divided by 41 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3158.878
Deduct 328 from 330 and we're left 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.

Step 10:
If we divide 20 by 41, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 3158.878
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
If we divide 200 by 41, we get 4 and a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 3158.87804
Deduct 164 from 200 and we're left 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.

Let's proceed to step 12:
41 goes into 360 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 3158.878048
If we take 328 away from 360, 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.

On to step 13:
41 can be fit into 320 7 times, resulting in a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 3158.8780487
Subtracting 287 from 320 leaves us 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.

Moving on to step 14:
If we divide 330 by 41, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 3158.87804878
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.

The final result is 3158.87804878 with a remainder of 2e-09.