We're dividing 823668 by 14 
We're looking to find how many times 14 goes into 823668.

Step 1:
When dividing 8 by 14, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 14

Advancing to step 2:
82 divided by 14 is 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 70 from 82 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 14

Going ahead to step 3:
The number 14 fits into 123 8 times, leaving a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtract 112 from 123 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 14

Step 4:
116 divided by 14 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 588.0
The remainder is 4 after subtracting 112 from 116.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 14

Going ahead to step 5:
46 divided by 14 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 5883.0
The remainder is 4 after subtracting 42 from 46.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 14

On to step 6:
If we divide 48 by 14, we get 3 and a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 58833.0
Subtracting 42 from 48 leaves us 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.

Going ahead to step 7:
60 divided by 14 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 58833.4
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.

Going ahead to step 8:
14 goes into 40 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 58833.42
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 9:
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: 58833.428
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.

Let's proceed to step 10:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 58833.4285
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.

Advancing to step 11:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 58833.42857
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.

Moving on to step 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 58833.428571
Subtract 14 from 20 to 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.

Going ahead to step 13:
If we divide 60 by 14, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 58833.4285714
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.

Moving on to step 14:
14 can be fit into 40 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 58833.42857142
Subtracting 28 from 40 leaves us 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.

The quotient of the division is 58833.42857142, and the remainder is 1.2e-08.