Let's divide 14186 by 31
Our goal is to divide 14186 by 31.

Let's proceed to step 1:
If we divide 1 by 31, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 31

Step 2:
When dividing 14 by 31, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 31

Going ahead to step 3:
When dividing 141 by 31, we get 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 124 from 141 and we're left with 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 31

Going ahead to step 4:
31 can be fit into 178 5 times, resulting in a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we subtract 155 from 178, we get 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 31

On to step 5:
The number 31 fits into 236 7 times, leaving a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 457.0
Deduct 217 from 236 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 6:
31 goes into 190 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 457.6
If we subtract 186 from 190, 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.

Let's proceed to step 7:
When dividing 40 by 31, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 457.61
Subtracting 31 from 40 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
When dividing 90 by 31, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 457.612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
280 divided by 31 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 457.6129
If we take 279 away from 280, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
When dividing 10 by 31, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 457.6129
Deduct 0 from 10 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 11:
When dividing 100 by 31, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 457.612903
Subtract 93 from 100 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
31 goes into 70 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 457.6129032
Subtracting 62 from 70 leaves us 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.

On to step 13:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 457.61290322
If we subtract 62 from 80, we 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.

After the division, we end up with 457.61290322 and a remainder of 1.8e-08.