We look at the division of 570261 by 42 
We want to divide 570261 by 42.

Advancing to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 42

On to step 2:
The number 42 fits into 57 1 times, leaving a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 57 and we're left with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 42

Step 3:
If we divide 150 by 42, we get 3 and a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 126 from 150 to get 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 42

Moving on to step 4:
If we divide 242 by 42, we get 5 and a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtract 210 from 242 to get 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 42

Going ahead to step 5:
326 divided by 42 is 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 1357.0
Deduct 294 from 326 and we're left with 32.
Grab the next digit (1) from the dividend, add it to 32, then carry on: 321 / 42

Step 6:
321 divided by 42 is 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 13577.0
Subtract 294 from 321 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
42 can be fit into 270 6 times, resulting in a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 13577.6
If we take 252 away from 270, we end up 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.

Advancing to step 8:
When dividing 180 by 42, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 13577.64
The remainder is 12 after subtracting 168 from 180.
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 9:
When dividing 120 by 42, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 13577.642
If we take 84 away from 120, we end up 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 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 13577.6428
Subtracting 336 from 360 leaves us with 24.
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 11:
42 can be fit into 240 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 13577.64285
Subtracting 210 from 240 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 12:
42 goes into 300 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 13577.642857
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.

Going ahead to step 13:
If we divide 60 by 42, we get 1 and a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 13577.6428571
Deduct 42 from 60 and we're left 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.

Let's proceed to step 14:
180 divided by 42 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 13577.64285714
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.

Our division results in 13577.64285714 with a remaining 1.2e-08.