We're dividing 75744 by 7 
We want to divide 75744 by 7.

Going ahead to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 7

Let's proceed to step 2:
When dividing 5 by 7, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 3:
7 can be fit into 57 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we take 56 away from 57, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 7

Let's proceed to step 4:
7 can be fit into 14 2 times, resulting in a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 1082.0
Subtracting 14 from 14 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 7

Advancing to step 5:
When dividing 4 by 7, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 10820.0
If we subtract 0 from 4, 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.

Step 6:
When dividing 40 by 7, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10820.5
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 10820.57
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.

Moving on to step 8:
When dividing 10 by 7, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 10820.571
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.

Advancing to step 9:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 10820.5714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
20 divided by 7 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 10820.57142
The remainder is 6 after subtracting 14 from 20.
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 11:
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: 10820.571428
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.

Let's proceed to step 12:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 10820.5714285
If we take 35 away from 40, we end up 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.

Moving on to step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 10820.57142857
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.

The final result is 10820.57142857 with a remainder of 1e-09.