Let's divide 873666 by 14
We're looking to find how many times 14 goes into 873666.

Advancing to step 1:
If we divide 8 by 14, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 14

Moving on to step 2:
If we divide 87 by 14, we get 6 and a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 3 after subtracting 84 from 87.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 14

Step 3:
33 divided by 14 is 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
If we subtract 28 from 33, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 14

Going ahead to step 4:
56 divided by 14 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 624.0
Deduct 56 from 56 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 14

Let's proceed to step 5:
14 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 6240.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 14

On to step 6:
14 can be fit into 66 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 62404.0
If we subtract 56 from 66, we 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.

Step 7:
100 divided by 14 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 62404.7
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.

Advancing to step 8:
20 divided by 14 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 62404.71
If we subtract 14 from 20, we 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.

Advancing to step 9:
60 divided by 14 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 62404.714
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.

Step 10:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 62404.7142
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 11:
120 divided by 14 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 62404.71428
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.

Step 12:
When dividing 80 by 14, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 62404.714285
If we subtract 70 from 80, we 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.

Step 13:
14 goes into 100 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 62404.7142857
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.

On to step 14:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 62404.71428571
If we subtract 14 from 20, we 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.

The final result is 62404.71428571 with a remainder of 6e-09.