42135 ÷ 42 
We want to divide 42135 by 42.

Advancing to step 1:
42 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 42

Advancing to step 2:
If we divide 42 by 42, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 42 from 42, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 42

Moving on to step 3:
When dividing 1 by 42, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 42

On to step 4:
The number 42 fits into 13 0 times, leaving a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 100.0
If we subtract 0 from 13, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 42

Going ahead to step 5:
The number 42 fits into 135 3 times, leaving a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1003.0
Subtract 126 from 135 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
The number 42 fits into 90 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1003.2
The remainder is 6 after subtracting 84 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
42 goes into 60 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1003.21
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
180 divided by 42 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 1003.214
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
If we divide 120 by 42, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 1003.2142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 1003.21428
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1003.214285
If we take 210 away from 240, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
300 divided by 42 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 1003.2142857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
When dividing 60 by 42, we get 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1003.21428571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 1003.21428571 with a balance of 1.8e-08.