Let's divide 71342 by 14
We're looking to find how many times 14 goes into 71342.

Going ahead to step 1:
If we divide 7 by 14, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 14

On to step 2:
14 goes into 71 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 70 away from 71, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 14

Moving on to step 3:
If we divide 13 by 14, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 13, we get 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 14

Going ahead to step 4:
14 goes into 134 9 times with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 509.0
If we take 126 away from 134, we end up with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 14

Moving on to step 5:
82 divided by 14 is 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5095.0
Deduct 70 from 82 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.

Going ahead to step 6:
14 goes into 120 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 5095.8
Deduct 112 from 120 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.

Advancing to step 7:
If we divide 80 by 14, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5095.85
Subtract 70 from 80 to get 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 8:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 5095.857
If we subtract 98 from 100, we get 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 9:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 5095.8571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 5095.85714
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
When dividing 40 by 14, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 5095.857142
Deduct 28 from 40 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 12:
14 goes into 120 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 5095.8571428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
14 goes into 80 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5095.85714285
Deduct 70 from 80 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.

Our division results in 5095.85714285 with a remaining 1e-08.