We look at the division of 775218 by 77 
Our goal is to divide 775218 by 77.

Let's proceed to step 1:
The number 77 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 77

Advancing to step 2:
77 divided by 77 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 77 from 77 and we're left with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 77

Step 3:
When dividing 5 by 77, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 77

Advancing to step 4:
77 goes into 52 0 times with a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Subtract 0 from 52 to get 52.
Include the next digit (1) from the dividend after 52, then repeat: 521 / 77

Let's proceed to step 5:
The number 77 fits into 521 6 times, leaving a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 1006.0
If we subtract 462 from 521, we get 59.
Include the next digit (8) from the dividend after 59, then repeat: 598 / 77

Advancing to step 6:
598 divided by 77 is 7 with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 10067.0
Subtracting 539 from 598 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 7:
When dividing 590 by 77, we get 7 with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 10067.7
Subtracting 539 from 590 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 8:
77 can be fit into 510 6 times, resulting in a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 10067.76
Subtract 462 from 510 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
77 goes into 480 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 10067.766
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 10067.766 with a remainder of 0.0018.