511410 ÷ 42 
We want to divide 511410 by 42.

Advancing to step 1:
42 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 42

Advancing to step 2:
42 goes into 51 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 9 after subtracting 42 from 51.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 42

Going ahead to step 3:
The number 42 fits into 91 2 times, leaving a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 84 from 91 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 42

Let's proceed to step 4:
If we divide 74 by 42, we get 1 and a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
If we subtract 42 from 74, we get 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 42

Going ahead to step 5:
42 can be fit into 321 7 times, resulting in a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 1217.0
Subtracting 294 from 321 leaves us with 27.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 42

Advancing to step 6:
The number 42 fits into 270 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 12176.0
Deduct 252 from 270 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.

Advancing to step 7:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 12176.4
Deduct 168 from 180 and we're left 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.

Advancing to step 8:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 12176.42
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
360 divided by 42 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 12176.428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 12176.4285
If we subtract 210 from 240, we get 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 11:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 12176.42857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
42 goes into 60 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 12176.428571
If we subtract 42 from 60, we get 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 13:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 12176.4285714
If we take 168 away from 180, we end up 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.

Going ahead to step 14:
When dividing 120 by 42, we get 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 12176.42857142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 12176.42857142, with a leftover of 3.6e-08.