We're dividing 776721 by 79 
Let's see how many times 79 fits into 776721.

Step 1:
7 divided by 79 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 79

On to step 2:
79 can be fit into 77 0 times, resulting in a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Take the next digit (6) from the dividend and append it to 77, then repeat: 776 / 79

Moving on to step 3:
The number 79 fits into 776 9 times, leaving a remainder of 65.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 711 from 776 and we're left with 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 79

Step 4:
When dividing 657 by 79, we get 8 with a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 98.0
If we take 632 away from 657, we end up with 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 79

On to step 5:
If we divide 252 by 79, we get 3 and a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 983.0
If we take 237 away from 252, we end up with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 79

Let's proceed to step 6:
79 goes into 151 1 times with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 9831.0
Subtract 79 from 151 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 7:
When dividing 720 by 79, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9831.9
If we take 711 away from 720, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
90 divided by 79 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 9831.91
If we subtract 79 from 90, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
When dividing 110 by 79, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 9831.911
Subtracting 79 from 110 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 9831.911, and the remainder is 0.0031.