We look at the division of 343114 by 42 
Our goal is to divide 343114 by 42.

On to step 1:
42 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 42

Going ahead to step 2:
The number 42 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 42

Going ahead to step 3:
42 goes into 343 8 times with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 336 from 343 leaves us with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 42

Moving on to step 4:
If we divide 71 by 42, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we take 42 away from 71, we end up with 29.
Take the next digit (1) from the dividend and append it to 29, then repeat: 291 / 42

On to step 5:
291 divided by 42 is 6 with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 816.0
Subtracting 252 from 291 leaves us with 39.
Include the next digit (4) from the dividend after 39, then repeat: 394 / 42

Step 6:
394 divided by 42 is 9 with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 8169.0
If we subtract 378 from 394, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 8169.3
Subtracting 126 from 160 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 8169.38
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
42 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8169.38
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
When dividing 400 by 42, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 8169.3809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
When dividing 220 by 42, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8169.38095
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
100 divided by 42 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 8169.380952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
If we divide 160 by 42, we get 3 and a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 8169.3809523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 8169.38095238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 8169.38095238, and the remainder is 4e-09.