We look at the division of 401966 by 11 
We're looking to find how many times 11 goes into 401966.

Let's proceed to step 1:
11 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 11

Advancing to step 2:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 33 from 40 to get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 11

Step 3:
11 can be fit into 71 6 times, resulting in a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
If we take 66 away from 71, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 11

Step 4:
11 can be fit into 59 5 times, resulting in a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 365.0
If we take 55 away from 59, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 11

Step 5:
11 goes into 46 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 3654.0
Deduct 44 from 46 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 11

Step 6:
11 can be fit into 26 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 36542.0
If we take 22 away from 26, 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 7:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 36542.3
Subtract 33 from 40 to 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.

Let's proceed to 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: 36542.36
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.

Going ahead to step 9:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 36542.363
Subtract 33 from 40 to 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.

Going ahead to step 10:
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: 36542.3636
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.

Step 11:
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: 36542.36363
If we take 33 away from 40, we end up 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:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 36542.363636
Subtracting 66 from 70 leaves us 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 13:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 36542.3636363
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.

Let's proceed to step 14:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 36542.36363636
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.

The quotient of the division is 36542.36363636, and the remainder is 4e-09.