129511 ÷ 79 
We're looking to find how many times 79 goes into 129511.

Going ahead to step 1:
When dividing 1 by 79, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 79

Step 2:
The number 79 fits into 12 0 times, leaving a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 79

Moving on to step 3:
When dividing 129 by 79, we get 1 with a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 50 after subtracting 79 from 129.
Take the next digit (5) from the dividend and append it to 50, then repeat: 505 / 79

Let's proceed to step 4:
The number 79 fits into 505 6 times, leaving a remainder of 31.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 474 from 505 to get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 79

Moving on to step 5:
When dividing 311 by 79, we get 3 with a remainder of 74.
The next digit of our result is 3. 
Result so far: 163.0
If we subtract 237 from 311, we get 74.
Append the next digit (1) from the dividend to 74 and continue with: 741 / 79

On to step 6:
741 divided by 79 is 9 with a remainder of 30.
The next digit of our result is 9. 
Result so far: 1639.0
If we subtract 711 from 741, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
When dividing 300 by 79, we get 3 with a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 1639.3
Deduct 237 from 300 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 8:
79 goes into 630 7 times with a remainder of 77.
Put 7 as the next digit of the answer. 
Result so far: 1639.37
Deduct 553 from 630 and we're left with 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 9:
79 can be fit into 770 9 times, resulting in a remainder of 59.
Put 9 as the next digit of the answer. 
Result so far: 1639.379
If we subtract 711 from 770, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 10:
If we divide 590 by 79, we get 7 and a remainder of 37.
The next digit of our result is 7. 
Result so far: 1639.3797
Subtracting 553 from 590 leaves us 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.

Let's proceed to step 11:
When dividing 370 by 79, we get 4 with a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 1639.37974
Deduct 316 from 370 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 12:
540 divided by 79 is 6 with a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 1639.379746
Deduct 474 from 540 and we're left 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.

Step 13:
If we divide 660 by 79, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 1639.3797468
If we subtract 632 from 660, we 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.

Let's proceed to step 14:
If we divide 280 by 79, we get 3 and a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 1639.37974683
Deduct 237 from 280 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

In conclusion, the division gives 1639.37974683 with a balance of 4.3e-08.