We look at the division of 407126 by 11 
We want to divide 407126 by 11.

Step 1:
If we divide 4 by 11, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 11

Step 2:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 33 from 40 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 11

Step 3:
11 can be fit into 77 7 times, resulting in a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtracting 77 from 77 leaves us with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 11

Advancing to step 4:
1 divided by 11 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 370.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 11

Moving on to step 5:
11 goes into 12 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 3701.0
The remainder is 1 after subtracting 11 from 12.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 11

Moving on to step 6:
When dividing 16 by 11, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 37011.0
The remainder is 5 after subtracting 11 from 16.
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:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 37011.4
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 37011.45
If we take 55 away from 60, 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 9:
50 divided by 11 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 37011.454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
11 goes into 60 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 37011.4545
Subtracting 55 from 60 leaves us 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 11:
If we divide 50 by 11, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 37011.45454
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
60 divided by 11 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 37011.454545
Subtract 55 from 60 to 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.

Going ahead to step 13:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 37011.4545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
If we divide 60 by 11, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 37011.45454545
If we subtract 55 from 60, 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.

In conclusion, the division gives 37011.45454545 with a balance of 5e-09.