We're dividing 766159 by 79 
We want to figure out the number of times 766159 can be divided by 79.

Advancing to step 1:
If we divide 7 by 79, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 79

Step 2:
76 divided by 79 is 0 with a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 79

Step 3:
When dividing 766 by 79, we get 9 with a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 711 from 766 and we're left with 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 79

Let's proceed to step 4:
79 goes into 551 6 times with a remainder of 77.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 474 from 551 leaves us with 77.
Append the next digit (5) from the dividend to 77 and continue with: 775 / 79

Moving on to step 5:
79 goes into 775 9 times with a remainder of 64.
Record the quotient 9 as the next digit in the result. 
Result so far: 969.0
If we take 711 away from 775, we end up with 64.
Grab the next digit (9) from the dividend, add it to 64, then carry on: 649 / 79

Step 6:
The number 79 fits into 649 8 times, leaving a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 9698.0
If we subtract 632 from 649, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
When dividing 170 by 79, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 9698.2
Subtracting 158 from 170 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
If we divide 120 by 79, we get 1 and a remainder of 41.
The next digit of our result is 1. 
Result so far: 9698.21
The remainder is 41 after subtracting 79 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
The number 79 fits into 410 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 9698.215
If we take 395 away from 410, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
150 divided by 79 is 1 with a remainder of 71.
Use 1 as the next digit of our solution. 
Result so far: 9698.2151
The remainder is 71 after subtracting 79 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 11:
79 can be fit into 710 8 times, resulting in a remainder of 78.
The next digit of our result is 8. 
Result so far: 9698.21518
The remainder is 78 after subtracting 632 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 12:
79 can be fit into 780 9 times, resulting in a remainder of 69.
The next digit of our result is 9. 
Result so far: 9698.215189
If we subtract 711 from 780, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 13:
When dividing 690 by 79, we get 8 with a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 9698.2151898
If we subtract 632 from 690, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 14:
When dividing 580 by 79, we get 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 9698.21518987
Deduct 553 from 580 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 9698.21518987 with a remaining 2.7e-08.