We look at the division of 414707 by 41 
Let's see how many times 41 fits into 414707.

Going ahead to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 41

Going ahead to step 2:
The number 41 fits into 41 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 41 away from 41, we end up with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 41

Let's proceed to step 3:
4 divided by 41 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 41

On to step 4:
41 goes into 47 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 101.0
If we take 41 away from 47, we end up with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 41

Going ahead to step 5:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1011.0
Subtract 41 from 60 to get 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 41

Step 6:
41 goes into 197 4 times with a remainder of 33.
The next digit of our result is 4. 
Result so far: 10114.0
If we take 164 away from 197, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
41 goes into 330 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10114.8
Deduct 328 from 330 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.

Going ahead to step 8:
41 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10114.8
Deduct 0 from 20 and we're left 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.

Advancing to step 9:
41 goes into 200 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 10114.804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
If we divide 360 by 41, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 10114.8048
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.

Let's proceed to step 11:
41 goes into 320 7 times with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 10114.80487
If we subtract 287 from 320, we 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.

On to step 12:
41 can be fit into 330 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10114.804878
Deduct 328 from 330 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.

Moving on to step 13:
If we divide 20 by 41, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10114.804878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
41 goes into 200 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 10114.80487804
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.

The quotient of the division is 10114.80487804, and the remainder is 3.6e-08.