We look at the division of 410959 by 11 
We want to figure out the number of times 410959 can be divided by 11.

Let's proceed to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 11

Step 2:
If we divide 41 by 11, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 33 from 41 leaves us with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 11

Advancing to step 3:
80 divided by 11 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we take 77 away from 80, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 11

Advancing to step 4:
11 can be fit into 39 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 373.0
The remainder is 6 after subtracting 33 from 39.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 11

Step 5:
When dividing 65 by 11, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 3735.0
Subtract 55 from 65 to get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 11

Going ahead to step 6:
The number 11 fits into 109 9 times, leaving a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 37359.0
If we take 99 away from 109, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
11 goes into 100 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 37359.9
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 37359.9
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
When dividing 100 by 11, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 37359.909
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 37359.909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 11 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 37359.90909
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 37359.90909
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
100 divided by 11 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 37359.9090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 37359.9090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 37359.9090909 with a remainder of 1e-08.