We're dividing 421309 by 11 
Our goal is to divide 421309 by 11.

Advancing to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 11

Moving on to step 2:
11 can be fit into 42 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 33 from 42, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 11

Advancing to step 3:
When dividing 91 by 11, we get 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 38.0
The remainder is 3 after subtracting 88 from 91.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 11

Going ahead to step 4:
When dividing 33 by 11, we get 3 with 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 (0) from the dividend after 0, then repeat: 0 / 11

Moving on to step 5:
0 divided by 11 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3830.0
Subtracting 0 from 0 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 11

Advancing to step 6:
9 divided by 11 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 38300.0
The remainder is 9 after subtracting 0 from 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 11 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 38300.8
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
When dividing 20 by 11, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 38300.81
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 38300.818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
20 divided by 11 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 38300.8181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
When dividing 90 by 11, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 38300.81818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 38300.818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 38300.8181818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 38300.81818181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final outcome is 38300.81818181, with a leftover of 9e-09.