We look at the division of 14138 by 78 
Our goal is to divide 14138 by 78.

On to step 1:
1 divided by 78 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 78

Going ahead to step 2:
14 divided by 78 is 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 78

Step 3:
78 goes into 141 1 times with a remainder of 63.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 78 from 141 to get 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 78

On to step 4:
If we divide 633 by 78, we get 8 and a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 624 from 633 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 78

Step 5:
78 can be fit into 98 1 times, resulting in a remainder of 20.
The next digit of our result is 1. 
Result so far: 181.0
If we subtract 78 from 98, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 6:
200 divided by 78 is 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 181.2
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
78 can be fit into 440 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 181.25
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
If we divide 500 by 78, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 181.256
Deduct 468 from 500 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
320 divided by 78 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 181.2564
Subtracting 312 from 320 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.

Advancing to step 10:
78 can be fit into 80 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 181.25641
If we subtract 78 from 80, 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.

Advancing to step 11:
78 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 181.25641
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
When dividing 200 by 78, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 181.2564102
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 13:
When dividing 440 by 78, we get 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 181.25641025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 181.25641025 and a remainder of 5e-08.