511341 ÷ 42 
We want to divide 511341 by 42.

Going ahead to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
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

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
Deduct 42 from 51 and we're left with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 42

On to step 3:
If we divide 91 by 42, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 84 away from 91, we end up with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 42

Step 4:
73 divided by 42 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 121.0
Deduct 42 from 73 and we're left with 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 42

Step 5:
If we divide 314 by 42, we get 7 and a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 1217.0
The remainder is 20 after subtracting 294 from 314.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 42

Advancing to step 6:
42 goes into 201 4 times with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 12174.0
Subtract 168 from 201 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
42 goes into 330 7 times with a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 12174.7
The remainder is 36 after subtracting 294 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 12174.78
The remainder is 24 after subtracting 336 from 360.
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 9:
The number 42 fits into 240 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 12174.785
Deduct 210 from 240 and we're left 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.

Moving on to step 10:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 12174.7857
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.

Going ahead to step 11:
The number 42 fits into 60 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 12174.78571
Subtract 42 from 60 to 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.

Moving on to step 12:
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: 12174.785714
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 12174.7857142
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.

Moving on to step 14:
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: 12174.78571428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 12174.78571428, and the remainder is 2.4e-08.