We look at the division of 777126 by 79 
Let's see how many times 79 fits into 777126.

Advancing to step 1:
The number 79 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 79

Step 2:
77 divided by 79 is 0 with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Append the next digit (7) from the dividend to 77 and continue with: 777 / 79

Advancing to step 3:
The number 79 fits into 777 9 times, leaving a remainder of 66.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 66 after subtracting 711 from 777.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 79

On to step 4:
79 goes into 661 8 times with a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtracting 632 from 661 leaves us with 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 79

Advancing to step 5:
292 divided by 79 is 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 983.0
Subtracting 237 from 292 leaves us with 55.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 79

Step 6:
79 can be fit into 556 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 9837.0
The remainder is 3 after subtracting 553 from 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 79 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 9837.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
79 can be fit into 300 3 times, resulting in a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 9837.03
If we subtract 237 from 300, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 9:
79 can be fit into 630 7 times, resulting in a remainder of 77.
The number 7 becomes the next digit in our result. 
Result so far: 9837.037
Subtract 553 from 630 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 10:
770 divided by 79 is 9 with a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 9837.0379
If we take 711 away from 770, we end up 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.

Let's proceed to step 11:
If we divide 590 by 79, we get 7 and a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 9837.03797
If we take 553 away from 590, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 12:
79 goes into 370 4 times with a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 9837.037974
If we subtract 316 from 370, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 13:
The number 79 fits into 540 6 times, leaving a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 9837.0379746
Subtracting 474 from 540 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 14:
The number 79 fits into 660 8 times, leaving a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 9837.03797468
Subtract 632 from 660 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 9837.03797468, with a leftover of 2.8e-08.