519718 ÷ 41 
Our goal is to divide 519718 by 41.

Let's proceed to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 41

On to step 2:
If we divide 51 by 41, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 51 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 41

Let's proceed to step 3:
When dividing 109 by 41, we get 2 with a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 27 after subtracting 82 from 109.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 41

Moving on to step 4:
277 divided by 41 is 6 with a remainder of 31.
The next digit of our result is 6. 
Result so far: 126.0
Subtracting 246 from 277 leaves us with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 41

Let's proceed to step 5:
When dividing 311 by 41, we get 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 1267.0
If we take 287 away from 311, we end up with 24.
Bring next digit (8) of the dividend behind the 24 and repeat the process: 248 / 41

Going ahead to step 6:
41 goes into 248 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 12676.0
Deduct 246 from 248 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.

On to step 7:
41 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12676.0
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.

Moving on to step 8:
The number 41 fits into 200 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 12676.04
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.

Let's proceed to step 9:
When dividing 360 by 41, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 12676.048
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.

Step 10:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 12676.0487
Subtract 287 from 320 to get 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 11:
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: 12676.04878
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.

Step 12:
The number 41 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12676.04878
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.

Moving on to step 13:
41 goes into 200 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 12676.0487804
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.

Step 14:
If we divide 360 by 41, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 12676.04878048
Subtracting 328 from 360 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 result is 12676.04878048 with a remainder of 3.2e-08.