430111 ÷ 22 
Our goal is to divide 430111 by 22.

Step 1:
22 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 22

On to step 2:
The number 22 fits into 43 1 times, leaving a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 22 from 43 and we're left with 21.
Grab the next digit (0) from the dividend, add it to 21, then carry on: 210 / 22

Moving on to step 3:
22 goes into 210 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 19.0
If we take 198 away from 210, we end up with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 22

Let's proceed to step 4:
When dividing 121 by 22, we get 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 195.0
Subtracting 110 from 121 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 22

Step 5:
If we divide 111 by 22, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 1955.0
Subtract 110 from 111 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 22

On to step 6:
11 divided by 22 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 19550.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
22 goes into 110 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 19550.5
Subtract 110 from 110 to 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.

Step 8:
22 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 19550.5
Subtract 0 from 0 to 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.

Advancing to step 9:
If we divide 0 by 22, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 19550.5
Subtract 0 from 0 to 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.

In conclusion, the division gives 19550.5 with a balance of 0.0.