We're dividing 6638 by 14 
Let's see how many times 14 fits into 6638.

Let's proceed to step 1:
When dividing 6 by 14, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 14

Moving on to step 2:
14 goes into 66 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 10 after subtracting 56 from 66.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 14

On to step 3:
14 goes into 103 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we subtract 98 from 103, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 14

Step 4:
If we divide 58 by 14, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 474.0
If we take 56 away from 58, 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.

Step 5:
When dividing 20 by 14, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 474.1
Subtracting 14 from 20 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.

Let's proceed to step 6:
60 divided by 14 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 474.14
If we take 56 away from 60, we end up 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.

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: 474.142
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.

Let's proceed to step 8:
120 divided by 14 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 474.1428
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 474.14285
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.

On to step 10:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 474.142857
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.

Moving on to step 11:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 474.1428571
If we take 14 away from 20, we end up 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.

On to step 12:
When dividing 60 by 14, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 474.14285714
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.

Our division results in 474.14285714 with a remaining 4e-09.