We divide 129971 by 77
We want to figure out the number of times 129971 can be divided by 77.

On to step 1:
1 divided by 77 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 77

Step 2:
12 divided by 77 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 77

Step 3:
77 can be fit into 129 1 times, resulting in a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 77 from 129 leaves us with 52.
Append the next digit (9) from the dividend to 52 and continue with: 529 / 77

Moving on to step 4:
When dividing 529 by 77, we get 6 with a remainder of 67.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 462 away from 529, we end up with 67.
Take the next digit (7) from the dividend and append it to 67, then repeat: 677 / 77

Advancing to step 5:
77 goes into 677 8 times with a remainder of 61.
The next digit of our result is 8. 
Result so far: 168.0
The remainder is 61 after subtracting 616 from 677.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 77

Moving on to step 6:
The number 77 fits into 611 7 times, leaving a remainder of 72.
The number 7 becomes the next digit in our result. 
Result so far: 1687.0
Deduct 539 from 611 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
720 divided by 77 is 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 1687.9
If we subtract 693 from 720, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
77 goes into 270 3 times with a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 1687.93
If we subtract 231 from 270, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
77 can be fit into 390 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1687.935
If we take 385 away from 390, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
50 divided by 77 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1687.935
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
500 divided by 77 is 6 with a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 1687.93506
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
When dividing 380 by 77, we get 4 with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 1687.935064
Subtracting 308 from 380 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 13:
If we divide 720 by 77, we get 9 and a remainder of 27.
The next digit of our result is 9. 
Result so far: 1687.9350649
Subtracting 693 from 720 leaves us 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.

Let's proceed to step 14:
270 divided by 77 is 3 with a remainder of 39.
The next digit of our result is 3. 
Result so far: 1687.93506493
Deduct 231 from 270 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 1687.93506493 with a remaining 3.9e-08.