Let's divide 517783 by 42
We're looking to find how many times 42 goes into 517783.

On to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 42

Let's proceed to step 2:
42 goes into 51 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 51 leaves us with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 42

Going ahead to step 3:
97 divided by 42 is 2 with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 84 from 97 to get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 42

Step 4:
42 can be fit into 137 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 123.0
Deduct 126 from 137 and we're left with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 42

Going ahead to step 5:
If we divide 118 by 42, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 1232.0
Subtracting 84 from 118 leaves us with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 42

On to step 6:
When dividing 343 by 42, we get 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 12328.0
Subtract 336 from 343 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 42, we get 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 12328.1
If we subtract 42 from 70, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
If we divide 280 by 42, we get 6 and a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 12328.16
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
If we divide 280 by 42, we get 6 and a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 12328.166
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 12328.166 with a balance of 0.0028.