Let's divide 382434 by 14
Our goal is to divide 382434 by 14.

Step 1:
14 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 14

Going ahead to step 2:
When dividing 38 by 14, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 28 from 38 leaves us with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 14

Advancing to step 3:
If we divide 102 by 14, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtract 98 from 102 to get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 14

Advancing to step 4:
When dividing 44 by 14, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 273.0
If we subtract 42 from 44, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 14

Step 5:
14 goes into 23 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 2731.0
If we take 14 away from 23, we end up with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 14

Advancing to step 6:
94 divided by 14 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 27316.0
If we take 84 away from 94, 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.

On to step 7:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 27316.7
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.

On to step 8:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 27316.71
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.

Step 9:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 27316.714
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:
14 goes into 40 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 27316.7142
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.

On to step 11:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 27316.71428
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.

Moving on to step 12:
14 goes into 80 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 27316.714285
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.

Moving on to step 13:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 27316.7142857
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.

Advancing to step 14:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 27316.71428571
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.

The final result is 27316.71428571 with a remainder of 6e-09.