We're dividing 501853 by 42 
Our goal is to divide 501853 by 42.

Step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 42

Step 2:
When dividing 50 by 42, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 8 after subtracting 42 from 50.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 42

Moving on to step 3:
If we divide 81 by 42, we get 1 and a remainder of 39.
The next digit of our result is 1. 
Result so far: 11.0
If we take 42 away from 81, we end up with 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 42

Going ahead to step 4:
42 goes into 398 9 times with a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
Deduct 378 from 398 and we're left with 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 42

Moving on to step 5:
When dividing 205 by 42, we get 4 with a remainder of 37.
The next digit of our result is 4. 
Result so far: 1194.0
Subtract 168 from 205 to get 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 42

Moving on to step 6:
42 goes into 373 8 times with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 11948.0
Subtracting 336 from 373 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
42 can be fit into 370 8 times, resulting in a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 11948.8
Subtract 336 from 370 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
When dividing 340 by 42, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11948.88
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 11948.88 with a remaining 0.004.