We look at the division of 823666 by 14 
Our goal is to divide 823666 by 14.

Going ahead to step 1:
When dividing 8 by 14, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 14

Moving on to step 2:
When dividing 82 by 14, we get 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 70 from 82 leaves us with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 14

On to step 3:
When dividing 123 by 14, we get 8 with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
If we take 112 away from 123, we end up with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 14

Going ahead to step 4:
The number 14 fits into 116 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 588.0
Subtracting 112 from 116 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 14

Let's proceed to step 5:
46 divided by 14 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 5883.0
Subtracting 42 from 46 leaves us with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 14

Moving on to step 6:
If we divide 46 by 14, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 58833.0
If we subtract 42 from 46, 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:
40 divided by 14 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 58833.2
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.

Step 8:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 58833.28
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.

Going ahead to step 9:
14 can be fit into 80 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 58833.285
If we take 70 away from 80, we end up 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 10:
100 divided by 14 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 58833.2857
Subtracting 98 from 100 leaves us 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.

Moving on to step 11:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 58833.28571
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.

Moving on to step 12:
60 divided by 14 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 58833.285714
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.

Let's proceed to step 13:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 58833.2857142
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.

Let's proceed to step 14:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 58833.28571428
Deduct 112 from 120 and we're left 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 quotient of the division is 58833.28571428, and the remainder is 8e-09.