We're dividing 407914 by 41 
We want to divide 407914 by 41.

Step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 41

Moving on to step 2:
41 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 41

Let's proceed to step 3:
41 can be fit into 407 9 times, resulting in a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 369 from 407, we get 38.
Bring next digit (9) of the dividend behind the 38 and repeat the process: 389 / 41

Advancing to step 4:
If we divide 389 by 41, we get 9 and a remainder of 20.
Use 9 as the next digit of our solution. 
Result so far: 99.0
Subtracting 369 from 389 leaves us with 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 41

On to step 5:
41 can be fit into 201 4 times, resulting in a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 994.0
Subtracting 164 from 201 leaves us with 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 41

Advancing to step 6:
41 can be fit into 374 9 times, resulting in a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 9949.0
Deduct 369 from 374 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
41 can be fit into 50 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 9949.1
Subtract 41 from 50 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.

Moving on to step 8:
If we divide 90 by 41, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 9949.12
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 9949.121
If we subtract 41 from 80, we get 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 10:
When dividing 390 by 41, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 9949.1219
Subtracting 369 from 390 leaves us 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.

Let's proceed to step 11:
210 divided by 41 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 9949.12195
If we subtract 205 from 210, we 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.

Step 12:
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: 9949.121951
If we subtract 41 from 50, we 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.

Going ahead to step 13:
If we divide 90 by 41, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 9949.1219512
If we take 82 away from 90, we end up 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 14:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 9949.12195121
If we subtract 41 from 80, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 9949.12195121 with a remainder of 3.9e-08.