770780 ÷ 75 
We want to figure out the number of times 770780 can be divided by 75.

On to step 1:
75 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 75

Going ahead to step 2:
When dividing 77 by 75, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 75 from 77 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 75

Moving on to step 3:
The number 75 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 20 and we're left with 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 75

Going ahead to step 4:
75 can be fit into 207 2 times, resulting in a remainder of 57.
The next digit of our result is 2. 
Result so far: 102.0
Subtracting 150 from 207 leaves us with 57.
Take the next digit (8) from the dividend and append it to 57, then repeat: 578 / 75

On to step 5:
75 can be fit into 578 7 times, resulting in a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 1027.0
If we subtract 525 from 578, we get 53.
Append the next digit (0) from the dividend to 53 and continue with: 530 / 75

On to step 6:
530 divided by 75 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 10277.0
Deduct 525 from 530 and we're left 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 7:
The number 75 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 10277.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 10277.06
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10277.066
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 10277.066 with a remainder of 0.005.