409903 ÷ 11 
Our goal is to divide 409903 by 11.

Moving on to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 11

Moving on to step 2:
If we divide 40 by 11, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 33 away from 40, we end up with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 11

Moving on to step 3:
When dividing 79 by 11, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 77 from 79, we get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 11

Advancing to step 4:
The number 11 fits into 29 2 times, leaving a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 372.0
The remainder is 7 after subtracting 22 from 29.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 11

On to step 5:
If we divide 70 by 11, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 3726.0
If we take 66 away from 70, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

Let's proceed to step 6:
When dividing 43 by 11, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 37263.0
If we take 33 away from 43, 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.
The number 9 becomes the next digit in our result. 
Result so far: 37263.9
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 8:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 37263.9
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.

Going ahead to step 9:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 37263.909
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.

On to step 10:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 37263.909
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.

Let's proceed to step 11:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 37263.90909
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.

Step 12:
10 divided by 11 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 37263.90909
Subtracting 0 from 10 leaves us 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.

Advancing to step 13:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 37263.9090909
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.

Advancing to step 14:
If we divide 10 by 11, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 37263.9090909
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.

The final result is 37263.9090909 with a remainder of 1e-08.