517775 ÷ 42 
We want to divide 517775 by 42.

Moving on to step 1:
If we divide 5 by 42, we get 0 and 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 (1) from the dividend after 5, then repeat: 51 / 42

Let's proceed to step 2:
42 can be fit into 51 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 9 after subtracting 42 from 51.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 42

Moving on to step 3:
If we divide 97 by 42, we get 2 and a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 84 from 97 leaves us with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 42

Step 4:
If we divide 137 by 42, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 123.0
If we subtract 126 from 137, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 42

Moving on to step 5:
42 can be fit into 117 2 times, resulting in a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 1232.0
If we take 84 away from 117, we end up with 33.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 42

On to step 6:
42 can be fit into 335 7 times, resulting in a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 12327.0
Subtract 294 from 335 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
If we divide 410 by 42, we get 9 and a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 12327.9
If we subtract 378 from 410, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 12327.97
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
260 divided by 42 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 12327.976
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
42 goes into 80 1 times with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 12327.9761
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.

Going ahead to step 11:
42 goes into 380 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 12327.97619
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
20 divided by 42 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 12327.97619
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
42 goes into 200 4 times with a remainder of 32.
The next digit of our result is 4. 
Result so far: 12327.9761904
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
320 divided by 42 is 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 12327.97619047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 12327.97619047 with a balance of 2.6e-08.