We divide 421965 by 22
Our goal is to divide 421965 by 22.

Moving on to step 1:
When dividing 4 by 22, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
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 / 22

On to step 2:
22 goes into 42 1 times with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 20 after subtracting 22 from 42.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 22

Let's proceed to step 3:
201 divided by 22 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we subtract 198 from 201, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 22

Let's proceed to step 4:
22 can be fit into 39 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 191.0
The remainder is 17 after subtracting 22 from 39.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 22

Going ahead to step 5:
176 divided by 22 is 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 1918.0
Deduct 176 from 176 and we're left with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 22

On to step 6:
22 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 19180.0
If we subtract 0 from 5, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 22, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 19180.2
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 22, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 19180.22
Deduct 44 from 60 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 19180.22 with a balance of 0.016.