We divide 31413 by 14
We want to figure out the number of times 31413 can be divided by 14.

Advancing to step 1:
When dividing 3 by 14, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 14

Let's proceed to step 2:
If we divide 31 by 14, we get 2 and a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 28 away from 31, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 14

Moving on to step 3:
If we divide 34 by 14, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 22.0
If we subtract 28 from 34, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 14

Let's proceed to step 4:
If we divide 61 by 14, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 224.0
Deduct 56 from 61 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 14

Step 5:
The number 14 fits into 53 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 2243.0
If we subtract 42 from 53, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
14 can be fit into 110 7 times, resulting in a remainder of 12.
The next digit of our result is 7. 
Result so far: 2243.7
Deduct 98 from 110 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.

On to step 7:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 2243.78
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 8:
14 goes into 80 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2243.785
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.

On to step 9:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 2243.7857
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.

Step 10:
If we divide 20 by 14, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 2243.78571
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.

Moving on to step 11:
If we divide 60 by 14, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 2243.785714
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.

Step 12:
14 can be fit into 40 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 2243.7857142
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.

Going ahead to step 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2243.78571428
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.

In conclusion, the division gives 2243.78571428 with a balance of 8e-09.