138668 ÷ 14 
Our goal is to divide 138668 by 14.

Moving on to step 1:
14 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 14

Going ahead to step 2:
The number 14 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 14

Let's proceed to step 3:
14 goes into 138 9 times with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 126 from 138 to get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 14

Let's proceed to step 4:
14 can be fit into 126 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 99.0
If we take 126 away from 126, we end up with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 14

Advancing to step 5:
14 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 990.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 14

Step 6:
The number 14 fits into 68 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 9904.0
Subtract 56 from 68 to 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.

Step 7:
When dividing 120 by 14, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 9904.8
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 8:
14 goes into 80 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 9904.85
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.

On to step 9:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 9904.857
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 10:
When dividing 20 by 14, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 9904.8571
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.

Advancing to step 11:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 9904.85714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
When dividing 40 by 14, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 9904.857142
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 13:
14 goes into 120 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9904.8571428
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.

On to step 14:
80 divided by 14 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 9904.85714285
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.

The final result is 9904.85714285 with a remainder of 1e-08.