We're dividing 515258 by 42 
We want to figure out the number of times 515258 can be divided by 42.

Going ahead to 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
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 42

Advancing to step 2:
42 can be fit into 51 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 42 away from 51, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 42

Advancing to step 3:
The number 42 fits into 95 2 times, leaving a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 84 from 95, we get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 42

Step 4:
The number 42 fits into 112 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 122.0
If we take 84 away from 112, we end up with 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 42

On to step 5:
42 can be fit into 285 6 times, resulting in a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 1226.0
Deduct 252 from 285 and we're left with 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 42

Going ahead to step 6:
If we divide 338 by 42, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 12268.0
Deduct 336 from 338 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.

On to step 7:
20 divided by 42 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 12268.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
42 can be fit into 200 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 12268.04
Deduct 168 from 200 and we're left 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 9:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 12268.047
Subtract 294 from 320 to 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.

Let's proceed to step 10:
If we divide 260 by 42, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 12268.0476
Deduct 252 from 260 and we're left 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.

Going ahead to step 11:
42 goes into 80 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 12268.04761
If we subtract 42 from 80, we 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 12:
The number 42 fits into 380 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 12268.047619
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 13:
If we divide 20 by 42, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 12268.047619
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.

On to step 14:
If we divide 200 by 42, we get 4 and a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 12268.04761904
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.

Our division results in 12268.04761904 with a remaining 3.2e-08.