We divide 421670 by 11
Our goal is to divide 421670 by 11.

Step 1:
When dividing 4 by 11, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 11

Going ahead to step 2:
42 divided by 11 is 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 33 from 42 leaves us with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 11

Moving on to step 3:
91 divided by 11 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Subtracting 88 from 91 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 11

Advancing to step 4:
11 can be fit into 36 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 383.0
Subtracting 33 from 36 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 11

On to step 5:
When dividing 37 by 11, we get 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3833.0
Subtract 33 from 37 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 11

Advancing to step 6:
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: 38333.0
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 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 38333.6
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.

Going ahead to step 8:
40 divided by 11 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 38333.63
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.

Moving on to step 9:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 38333.636
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 10:
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: 38333.6363
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.

Moving on to step 11:
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: 38333.63636
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.

Moving on to step 12:
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: 38333.636363
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.

Going ahead to step 13:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 38333.6363636
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 14:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 38333.63636363
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.

In conclusion, the division gives 38333.63636363 with a balance of 7e-09.