We're dividing 501342 by 42 
We're looking to find how many times 42 goes into 501342.

On to step 1:
42 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 42

Step 2:
50 divided by 42 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 42 from 50 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 42

Step 3:
81 divided by 42 is 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 42 away from 81, we end up with 39.
Include the next digit (3) from the dividend after 39, then repeat: 393 / 42

On to step 4:
The number 42 fits into 393 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 119.0
Subtracting 378 from 393 leaves us with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 42

On to step 5:
42 can be fit into 154 3 times, resulting in a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 1193.0
If we take 126 away from 154, we end up with 28.
Take the next digit (2) from the dividend and append it to 28, then repeat: 282 / 42

Advancing to step 6:
If we divide 282 by 42, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 11936.0
Subtracting 252 from 282 leaves us 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 7:
42 goes into 300 7 times with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 11936.7
Subtracting 294 from 300 leaves us 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.

Let's proceed to step 8:
42 goes into 60 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 11936.71
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 11936.714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
If we divide 120 by 42, we get 2 and a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 11936.7142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
42 goes into 360 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 11936.71428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
42 goes into 240 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 11936.714285
Deduct 210 from 240 and we're left 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 13:
If we divide 300 by 42, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 11936.7142857
The remainder is 6 after subtracting 294 from 300.
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 14:
60 divided by 42 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 11936.71428571
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.

The final result is 11936.71428571 with a remainder of 1.8e-08.