We look at the division of 814295 by 41 
We want to divide 814295 by 41.

On to step 1:
The number 41 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 41

On to step 2:
41 goes into 81 1 times with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 81 to get 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 41

On to step 3:
When dividing 404 by 41, we get 9 with a remainder of 35.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 369 from 404, we get 35.
Include the next digit (2) from the dividend after 35, then repeat: 352 / 41

Going ahead to step 4:
The number 41 fits into 352 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 198.0
If we take 328 away from 352, we end up with 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 41

On to step 5:
If we divide 249 by 41, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 1986.0
Deduct 246 from 249 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 41

Step 6:
41 goes into 35 0 times with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 19860.0
The remainder is 35 after subtracting 0 from 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
41 goes into 350 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 19860.8
If we take 328 away from 350, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
220 divided by 41 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 19860.85
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
150 divided by 41 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 19860.853
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 10:
When dividing 270 by 41, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 19860.8536
If we subtract 246 from 270, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 19860.85365
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
When dividing 350 by 41, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 19860.853658
If we take 328 away from 350, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
220 divided by 41 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 19860.8536585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
When dividing 150 by 41, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 19860.85365853
The remainder is 27 after subtracting 123 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 19860.85365853, and the remainder is 2.7e-08.