We look at the division of 103960 by 7 
We're looking to find how many times 7 goes into 103960.

On to step 1:
7 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 7

Let's proceed to step 2:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 7 from 10, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 7

On to step 3:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 28 from 33 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 7

Going ahead to step 4:
7 can be fit into 59 8 times, resulting in a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 148.0
Subtract 56 from 59 to get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 7

Moving on to step 5:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 1485.0
Deduct 35 from 36 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 7

Going ahead to step 6:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 14851.0
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 7 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 14851.4
Subtracting 28 from 30 leaves us 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.

Let's proceed to step 8:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 14851.42
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.

Moving on to step 9:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 14851.428
If we subtract 56 from 60, we 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.

Moving on to step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 14851.4285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 14851.42857
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
If we divide 10 by 7, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 14851.428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
When dividing 30 by 7, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 14851.4285714
Deduct 28 from 30 and we're left 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.

Let's proceed to step 14:
If we divide 20 by 7, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 14851.42857142
If we subtract 14 from 20, we 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.

The quotient of the division is 14851.42857142, and the remainder is 6e-09.