We look at the division of 501295 by 41 
We want to figure out the number of times 501295 can be divided by 41.

Moving on to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 41

Advancing to step 2:
When dividing 50 by 41, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 41 from 50, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 41

Let's proceed to step 3:
41 can be fit into 91 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 82 from 91 leaves us with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 41

Advancing to step 4:
41 goes into 92 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 122.0
Subtracting 82 from 92 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 41

Going ahead to step 5:
The number 41 fits into 109 2 times, leaving a remainder of 27.
The next digit of our result is 2. 
Result so far: 1222.0
If we subtract 82 from 109, we get 27.
Take the next digit (5) from the dividend and append it to 27, then repeat: 275 / 41

Advancing to step 6:
When dividing 275 by 41, we get 6 with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 12226.0
If we take 246 away from 275, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
41 can be fit into 290 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 12226.7
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
When dividing 30 by 41, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 12226.7
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
41 goes into 300 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 12226.707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
41 goes into 130 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 12226.7073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
41 goes into 70 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 12226.70731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
When dividing 290 by 41, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 12226.707317
Subtract 287 from 290 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
41 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 12226.707317
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 12226.70731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 12226.70731707 with a remaining 1.3e-08.