We look at the division of 7540 by 7 
Let's see how many times 7 fits into 7540.

Advancing to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 7 from 7 to get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 7

Moving on to step 2:
If we divide 5 by 7, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Advancing to step 3:
7 can be fit into 54 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we subtract 49 from 54, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Let's proceed to step 4:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1077.0
Deduct 49 from 50 and we're left 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.

Moving on to step 5:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1077.1
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 6:
30 divided by 7 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 1077.14
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.

Going ahead to step 7:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 1077.142
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.

On to step 8:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 1077.1428
Deduct 56 from 60 and we're left with 4.
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 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1077.14285
Subtracting 35 from 40 leaves us with 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 10:
When dividing 50 by 7, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 1077.142857
Subtracting 49 from 50 leaves us 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.

Going ahead to step 11:
When dividing 10 by 7, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1077.1428571
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.

Step 12:
When dividing 30 by 7, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 1077.14285714
If we subtract 28 from 30, 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.

Our division results in 1077.14285714 with a remaining 2e-09.