4187 ÷ 14 
Our goal is to divide 4187 by 14.

Let's proceed to step 1:
If we divide 4 by 14, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 14

On to step 2:
41 divided by 14 is 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 28 from 41 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 14

Let's proceed to step 3:
14 goes into 138 9 times with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we take 126 away from 138, we end up with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 14

Going ahead to step 4:
127 divided by 14 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 299.0
Subtracting 126 from 127 leaves us 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 5:
14 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 299.0
Subtract 0 from 10 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.

Going ahead to step 6:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 299.07
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.

On to step 7:
If we divide 20 by 14, we get 1 and a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 299.071
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 14, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 299.0714
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.

Advancing to step 9:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 299.07142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 299.071428
If we take 112 away from 120, we end up 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 11:
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: 299.0714285
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.

Step 12:
If we divide 100 by 14, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 299.07142857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 299.07142857 and a remainder of 2e-09.