We look at the division of 4877664 by 129 
We're looking to find how many times 129 goes into 4877664.

On to step 1:
4 divided by 129 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 129

Moving on to step 2:
129 goes into 48 0 times with a remainder of 48.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 48 to get 48.
Bring next digit (7) of the dividend behind the 48 and repeat the process: 487 / 129

On to step 3:
When dividing 487 by 129, we get 3 with a remainder of 100.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 387 from 487 and we're left with 100.
Bring next digit (7) of the dividend behind the 100 and repeat the process: 1007 / 129

Advancing to step 4:
129 can be fit into 1007 7 times, resulting in a remainder of 104.
Use 7 as the next digit of our solution. 
Result so far: 37.0
The remainder is 104 after subtracting 903 from 1007.
Bring next digit (6) of the dividend behind the 104 and repeat the process: 1046 / 129

Advancing to step 5:
The number 129 fits into 1046 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 378.0
Subtract 1032 from 1046 to get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 129

Going ahead to step 6:
129 can be fit into 146 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 3781.0
If we take 129 away from 146, we end up with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 129

Let's proceed to step 7:
129 goes into 174 1 times with a remainder of 45.
The next digit of our result is 1. 
Result so far: 37811.0
Subtract 129 from 174 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
129 can be fit into 450 3 times, resulting in a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 37811.3
The remainder is 63 after subtracting 387 from 450.
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:
630 divided by 129 is 4 with a remainder of 114.
Use 4 as the next digit of our solution. 
Result so far: 37811.34
The remainder is 114 after subtracting 516 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Step 10:
129 goes into 1140 8 times with a remainder of 108.
Use 8 as the next digit of our solution. 
Result so far: 37811.348
If we subtract 1032 from 1140, we get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Let's proceed to step 11:
1080 divided by 129 is 8 with a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 37811.3488
The remainder is 48 after subtracting 1032 from 1080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 37811.3488, and the remainder is 0.00048.