We're dividing 42233 by 85 
We want to figure out the number of times 42233 can be divided by 85.

Advancing to step 1:
85 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 85

Step 2:
When dividing 42 by 85, we get 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 85

Step 3:
422 divided by 85 is 4 with a remainder of 82.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 340 from 422 leaves us with 82.
Include the next digit (3) from the dividend after 82, then repeat: 823 / 85

On to step 4:
85 can be fit into 823 9 times, resulting in a remainder of 58.
The next digit of our result is 9. 
Result so far: 49.0
Subtract 765 from 823 to get 58.
Fetch the next digit (3) from the dividend, attach it to 58 and continue: 583 / 85

Let's proceed to step 5:
85 goes into 583 6 times with a remainder of 73.
The next digit of our result is 6. 
Result so far: 496.0
Deduct 510 from 583 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 6:
The number 85 fits into 730 8 times, leaving a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 496.8
If we subtract 680 from 730, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
85 goes into 500 5 times with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 496.85
The remainder is 75 after subtracting 425 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 8:
If we divide 750 by 85, we get 8 and a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 496.858
Subtract 680 from 750 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 9:
85 goes into 700 8 times with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 496.8588
If we subtract 680 from 700, 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.

In conclusion, the division gives 496.8588 with a balance of 0.0002.