We look at the division of 371886 by 14 
Let's see how many times 14 fits into 371886.

On to step 1:
14 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 14

Advancing to step 2:
14 can be fit into 37 2 times, resulting in a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 28 from 37 to get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 14

Let's proceed to step 3:
If we divide 91 by 14, we get 6 and a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Deduct 84 from 91 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 14

Step 4:
14 goes into 78 5 times with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 265.0
Subtract 70 from 78 to get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 14

Step 5:
14 goes into 88 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2656.0
Subtracting 84 from 88 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 14

Advancing to step 6:
The number 14 fits into 46 3 times, leaving a remainder of 4.
The next digit of our result is 3. 
Result so far: 26563.0
The remainder is 4 after subtracting 42 from 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
14 goes into 40 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 26563.2
If we take 28 away from 40, we end up 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 8:
If we divide 120 by 14, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 26563.28
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 9:
14 goes into 80 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 26563.285
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.

Let's proceed to step 10:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 26563.2857
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.

Going ahead to step 11:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 26563.28571
Deduct 14 from 20 and we're left 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.

On to step 12:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 26563.285714
Subtract 56 from 60 to 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 13:
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: 26563.2857142
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 14:
14 goes into 120 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 26563.28571428
Subtracting 112 from 120 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.

The final result is 26563.28571428 with a remainder of 8e-09.