We look at the division of 506277 by 41 
Our goal is to divide 506277 by 41.

Advancing to step 1:
41 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 41

Advancing to step 2:
41 goes into 50 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 50 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 41

Moving on to step 3:
41 goes into 96 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 82 from 96 to get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 41

On to step 4:
When dividing 142 by 41, we get 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
If we subtract 123 from 142, we get 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 41

Going ahead to step 5:
197 divided by 41 is 4 with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 1234.0
Subtracting 164 from 197 leaves us with 33.
Append the next digit (7) from the dividend to 33 and continue with: 337 / 41

Advancing to step 6:
41 goes into 337 8 times with a remainder of 9.
The next digit of our result is 8. 
Result so far: 12348.0
Subtract 328 from 337 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.

On to step 7:
90 divided by 41 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 12348.2
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 12348.21
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.

Step 9:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 12348.219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
210 divided by 41 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12348.2195
Subtract 205 from 210 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 12348.21951
Subtracting 41 from 50 leaves us 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.

On to step 12:
41 goes into 90 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 12348.219512
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.

Moving on to step 13:
41 goes into 80 1 times with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 12348.2195121
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.

Let's proceed to step 14:
41 goes into 390 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 12348.21951219
If we take 369 away from 390, we end up 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.

After the division, we end up with 12348.21951219 and a remainder of 2.1e-08.