We're dividing 421399 by 11 
We want to figure out the number of times 421399 can be divided by 11.

Advancing to step 1:
When dividing 4 by 11, we get 0 with 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.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 11

Advancing to step 2:
42 divided by 11 is 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 33 from 42 to get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 11

Let's proceed to step 3:
When dividing 91 by 11, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
If we take 88 away from 91, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 11

Let's proceed to step 4:
11 can be fit into 33 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 383.0
If we subtract 33 from 33, we get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 11

Step 5:
When dividing 9 by 11, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 3830.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 11

Going ahead to step 6:
The number 11 fits into 99 9 times, leaving a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 38309.0
Deduct 99 from 99 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 11 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 38309.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 11, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 38309.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 38309.0 with a remainder of 0.0.