397876 ÷ 14 
We want to figure out the number of times 397876 can be divided by 14.

Advancing to step 1:
If we divide 3 by 14, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 14

Moving on to step 2:
14 goes into 39 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 28 from 39, we get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 14

Moving on to step 3:
117 divided by 14 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 28.0
If we take 112 away from 117, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 14

Advancing to step 4:
14 goes into 58 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 284.0
Subtracting 56 from 58 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 14

Moving on to step 5:
If we divide 27 by 14, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 2841.0
If we take 14 away from 27, we end up with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 14

On to step 6:
14 goes into 136 9 times with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 28419.0
Subtract 126 from 136 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 7:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 28419.7
Deduct 98 from 100 and we're left 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.

On to step 8:
14 goes into 20 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 28419.71
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.

Moving on to step 9:
14 can be fit into 60 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 28419.714
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.

Let's proceed to step 10:
When dividing 40 by 14, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 28419.7142
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.

Moving on to step 11:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 28419.71428
Subtract 112 from 120 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.

Moving on to step 12:
14 goes into 80 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 28419.714285
Subtract 70 from 80 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.

Moving on to step 13:
If we divide 100 by 14, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 28419.7142857
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.

Let's proceed to step 14:
20 divided by 14 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 28419.71428571
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.

Our division results in 28419.71428571 with a remaining 6e-09.