We're dividing 422029 by 4 
We're looking to find how many times 4 goes into 422029.

Moving on to step 1:
If we divide 4 by 4, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 4 from 4 to get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 4

Advancing to step 2:
4 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 4

Let's proceed to step 3:
4 can be fit into 22 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
The remainder is 2 after subtracting 20 from 22.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 4

Let's proceed to step 4:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1055.0
Subtracting 20 from 20 leaves us with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 4

Going ahead to step 5:
The number 4 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10550.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 4

On to step 6:
4 can be fit into 29 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 105507.0
Deduct 28 from 29 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 4, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 105507.2
Subtract 8 from 10 to 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.

Moving on to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 105507.25
Subtract 20 from 20 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:
0 divided by 4 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 105507.25
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.

Let's proceed to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 105507.25
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.

The quotient of the division is 105507.25, and the remainder is 0.0.