31001 divided by 14 
Our goal is to divide 31001 by 14.

Let's proceed to step 1:
3 divided by 14 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 14

Step 2:
The number 14 fits into 31 2 times, leaving 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 (0) of the dividend behind the 3 and repeat the process: 30 / 14

Advancing to step 3:
The number 14 fits into 30 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we subtract 28 from 30, we get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 14

On to step 4:
14 goes into 20 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 221.0
If we subtract 14 from 20, we get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 14

Going ahead to step 5:
If we divide 61 by 14, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 2214.0
The remainder is 5 after subtracting 56 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
If we divide 50 by 14, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 2214.3
Subtract 42 from 50 to 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 7:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2214.35
The remainder is 10 after subtracting 70 from 80.
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 8:
14 can be fit into 100 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 2214.357
Subtract 98 from 100 to 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.

Let's proceed to step 9:
When dividing 20 by 14, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 2214.3571
Subtract 14 from 20 to 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 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2214.35714
If we subtract 56 from 60, we 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.

Going ahead to step 11:
40 divided by 14 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 2214.357142
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.

Let's proceed to step 12:
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: 2214.3571428
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.

Going ahead to step 13:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2214.35714285
Subtracting 70 from 80 leaves us 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.

The final result is 2214.35714285 with a remainder of 1e-08.