We look at the division of 76744 by 75 
We want to divide 76744 by 75.

Step 1:
7 divided by 75 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 75

Going ahead to step 2:
If we divide 76 by 75, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 75 from 76 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 75

Advancing to step 3:
17 divided by 75 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 17 to get 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 75

On to step 4:
The number 75 fits into 174 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 102.0
If we subtract 150 from 174, we get 24.
Include the next digit (4) from the dividend after 24, then repeat: 244 / 75

On to step 5:
The number 75 fits into 244 3 times, leaving a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 1023.0
Deduct 225 from 244 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 6:
190 divided by 75 is 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 1023.2
Subtract 150 from 190 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
If we divide 400 by 75, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1023.25
The remainder is 25 after subtracting 375 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
75 goes into 250 3 times with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 1023.253
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 1023.2533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 1023.2533 with a remainder of 0.00025.