We're dividing 770758 by 76 
Our goal is to divide 770758 by 76.

Moving on to step 1:
If we divide 7 by 76, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 76

Moving on to step 2:
77 divided by 76 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 76 from 77 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 76

On to step 3:
If we divide 10 by 76, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 10 to get 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 76

Step 4:
If we divide 107 by 76, we get 1 and a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 101.0
If we subtract 76 from 107, we get 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 76

Moving on to step 5:
76 can be fit into 315 4 times, resulting in a remainder of 11.
The next digit of our result is 4. 
Result so far: 1014.0
Subtract 304 from 315 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 76

Let's proceed to step 6:
The number 76 fits into 118 1 times, leaving a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 10141.0
The remainder is 42 after subtracting 76 from 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
The number 76 fits into 420 5 times, leaving a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 10141.5
Deduct 380 from 420 and we're left with 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 8:
When dividing 400 by 76, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 10141.55
Subtracting 380 from 400 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 10141.55 and a remainder of 0.02.