233777 ÷ 42 
Let's see how many times 42 fits into 233777.

Step 1:
42 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 42

Let's proceed to step 2:
If we divide 23 by 42, we get 0 and a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 23 after subtracting 0 from 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 42

Going ahead to step 3:
The number 42 fits into 233 5 times, leaving a remainder of 23.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 210 from 233 and we're left with 23.
Include the next digit (7) from the dividend after 23, then repeat: 237 / 42

Let's proceed to step 4:
The number 42 fits into 237 5 times, leaving a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 55.0
The remainder is 27 after subtracting 210 from 237.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 42

Moving on to step 5:
42 can be fit into 277 6 times, resulting in a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 556.0
Subtract 252 from 277 to get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 42

On to step 6:
42 can be fit into 257 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 5566.0
The remainder is 5 after subtracting 252 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 42 fits into 50 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 5566.1
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 42 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 5566.11
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 5566.11 with a balance of 0.038.