We're dividing 424633 by 38 
Our goal is to divide 424633 by 38.

Let's proceed to step 1:
The number 38 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 38

Let's proceed to step 2:
42 divided by 38 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 38 away from 42, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 38

Advancing to step 3:
44 divided by 38 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 38 from 44 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 38

Let's proceed to step 4:
The number 38 fits into 66 1 times, leaving a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 111.0
The remainder is 28 after subtracting 38 from 66.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 38

Step 5:
If we divide 283 by 38, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 1117.0
If we subtract 266 from 283, we get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 38

Moving on to step 6:
When dividing 173 by 38, we get 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 11174.0
Deduct 152 from 173 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 38, we get 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 11174.5
If we subtract 190 from 210, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 11174.55
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 11174.55 and a remainder of 0.01.