We look at the division of 406421 by 11 
Let's see how many times 11 fits into 406421.

Let's proceed to step 1:
When dividing 4 by 11, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 11

Let's proceed to step 2:
When dividing 40 by 11, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 33 from 40, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 11

Step 3:
11 goes into 76 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 66 from 76 and we're left with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 11

Moving on to step 4:
11 goes into 104 9 times with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 369.0
The remainder is 5 after subtracting 99 from 104.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 11

Moving on to step 5:
If we divide 52 by 11, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 3694.0
If we subtract 44 from 52, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 11

Advancing to step 6:
81 divided by 11 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 36947.0
Deduct 77 from 81 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
When dividing 40 by 11, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 36947.3
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
11 goes into 70 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 36947.36
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 36947.363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 36947.3636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 36947.36363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
If we divide 70 by 11, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 36947.363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 36947.3636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 36947.36363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 36947.36363636 with a remaining 4e-09.