Let's divide 414556 by 41
We want to divide 414556 by 41.

Going ahead to step 1:
4 divided by 41 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 41

Let's proceed to step 2:
41 goes into 41 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 41 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 41

Advancing to step 3:
41 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 4, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 41

Advancing to step 4:
41 can be fit into 45 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 101.0
If we take 41 away from 45, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 41

Going ahead to step 5:
45 divided by 41 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1011.0
Deduct 41 from 45 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 41

Going ahead to step 6:
41 can be fit into 46 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 10111.0
If we subtract 41 from 46, 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.

Advancing to step 7:
50 divided by 41 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 10111.1
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.

Moving on to step 8:
90 divided by 41 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 10111.12
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:
When dividing 80 by 41, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10111.121
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.

Advancing to step 10:
390 divided by 41 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 10111.1219
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.

Let's proceed to step 11:
When dividing 210 by 41, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 10111.12195
If we take 205 away from 210, we end up 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.

On to step 12:
When dividing 50 by 41, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 10111.121951
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.

Advancing to step 13:
90 divided by 41 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 10111.1219512
Deduct 82 from 90 and we're left 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.

On to step 14:
41 goes into 80 1 times with a remainder of 39.
The next digit of our result is 1. 
Result so far: 10111.12195121
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.

Our division results in 10111.12195121 with a remaining 3.9e-08.