We look at the division of 71414209 by 138 
Let's see how many times 138 fits into 71414209.

Going ahead to step 1:
When dividing 7 by 138, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 138

Let's proceed to step 2:
138 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Bring next digit (4) of the dividend behind the 71 and repeat the process: 714 / 138

Step 3:
138 goes into 714 5 times with a remainder of 24.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 690 from 714 to get 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 138

Advancing to step 4:
138 goes into 241 1 times with a remainder of 103.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we subtract 138 from 241, we get 103.
Bring next digit (4) of the dividend behind the 103 and repeat the process: 1034 / 138

Advancing to step 5:
138 goes into 1034 7 times with a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 517.0
Subtracting 966 from 1034 leaves us with 68.
Include the next digit (2) from the dividend after 68, then repeat: 682 / 138

Going ahead to step 6:
The number 138 fits into 682 4 times, leaving a remainder of 130.
Put 4 as the next digit of the answer. 
Result so far: 5174.0
The remainder is 130 after subtracting 552 from 682.
Include the next digit (0) from the dividend after 130, then repeat: 1300 / 138

Going ahead to step 7:
138 goes into 1300 9 times with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 51749.0
If we take 1242 away from 1300, we end up with 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 138

Going ahead to step 8:
589 divided by 138 is 4 with a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 517494.0
Subtract 552 from 589 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
When dividing 370 by 138, we get 2 with a remainder of 94.
Record the quotient 2 as the next digit in the result. 
Result so far: 517494.2
If we take 276 away from 370, we end up with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Step 10:
The number 138 fits into 940 6 times, leaving a remainder of 112.
Write down 6 as next digit of the result. 
Result so far: 517494.26
If we subtract 828 from 940, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 11:
138 goes into 1120 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 517494.268
If we subtract 1104 from 1120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
138 can be fit into 160 1 times, resulting in a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 517494.2681
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
If we divide 220 by 138, we get 1 and a remainder of 82.
The number 1 becomes the next digit in our result. 
Result so far: 517494.26811
Subtracting 138 from 220 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

The final outcome is 517494.26811, with a leftover of 8.2e-05.