We look at the division of 877327 by 129 
We're looking to find how many times 129 goes into 877327.

Step 1:
8 divided by 129 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 129

Let's proceed to step 2:
If we divide 87 by 129, we get 0 and a remainder of 87.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Bring next digit (7) of the dividend behind the 87 and repeat the process: 877 / 129

Moving on to step 3:
If we divide 877 by 129, we get 6 and a remainder of 103.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 103 after subtracting 774 from 877.
Grab the next digit (3) from the dividend, add it to 103, then carry on: 1033 / 129

Going ahead to step 4:
129 can be fit into 1033 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 68.0
Deduct 1032 from 1033 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 129

Advancing to step 5:
The number 129 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 680.0
If we take 0 away from 12, we end up with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 129

Step 6:
When dividing 127 by 129, we get 0 with a remainder of 127.
Use 0 as the next digit of our solution. 
Result so far: 6800.0
The remainder is 127 after subtracting 0 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Let's proceed to step 7:
1270 divided by 129 is 9 with a remainder of 109.
Put 9 as the next digit of the answer. 
Result so far: 6800.9
Subtracting 1161 from 1270 leaves us with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Advancing to step 8:
129 can be fit into 1090 8 times, resulting in a remainder of 58.
The next digit of our result is 8. 
Result so far: 6800.98
Subtract 1032 from 1090 to 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.

On to step 9:
129 goes into 580 4 times with a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 6800.984
If we take 516 away from 580, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 10:
129 goes into 640 4 times with a remainder of 124.
The number 4 becomes the next digit in our result. 
Result so far: 6800.9844
If we subtract 516 from 640, we get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

The final result is 6800.9844 with a remainder of 0.00124.