We divide 87821 by 14
We want to divide 87821 by 14.

On to step 1:
14 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 14

Let's proceed to step 2:
When dividing 87 by 14, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 84 from 87 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 14

On to step 3:
14 goes into 38 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 28 from 38 and we're left with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 14

On to step 4:
When dividing 102 by 14, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 627.0
If we subtract 98 from 102, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 14

Moving on to step 5:
14 can be fit into 41 2 times, resulting in a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 6272.0
Subtracting 28 from 41 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 6:
14 can be fit into 130 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 6272.9
Deduct 126 from 130 and we're left with 4.
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:
If we divide 40 by 14, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 6272.92
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.

Moving on to step 8:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 6272.928
The remainder is 8 after subtracting 112 from 120.
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 9:
When dividing 80 by 14, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6272.9285
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.

Going ahead to step 10:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 6272.92857
Subtract 98 from 100 to 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 11:
If we divide 20 by 14, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 6272.928571
The remainder is 6 after subtracting 14 from 20.
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 12:
14 goes into 60 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 6272.9285714
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.

On to step 13:
The number 14 fits into 40 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 6272.92857142
If we subtract 28 from 40, we get 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 final result is 6272.92857142 with a remainder of 1.2e-08.