We look at the division of 103781 by 14 
We're looking to find how many times 14 goes into 103781.

Moving on to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 14

Going ahead to step 2:
14 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 14

Advancing to step 3:
If we divide 103 by 14, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 98 from 103 and we're left with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 14

Let's proceed to step 4:
57 divided by 14 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 56 away from 57, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 14

Advancing to step 5:
When dividing 18 by 14, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 741.0
Subtract 14 from 18 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 14

Step 6:
41 divided by 14 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 7412.0
Subtracting 28 from 41 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
14 goes into 130 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 7412.9
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
If we divide 40 by 14, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7412.92
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
When dividing 120 by 14, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7412.928
Deduct 112 from 120 and we're left 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 10:
When dividing 80 by 14, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 7412.9285
Subtracting 70 from 80 leaves us 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.

Advancing to step 11:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7412.92857
The remainder is 2 after subtracting 98 from 100.
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 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 7412.928571
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.

Advancing to step 13:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 7412.9285714
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.

Going ahead to step 14:
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: 7412.92857142
Subtract 28 from 40 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.

Our division results in 7412.92857142 with a remaining 1.2e-08.