We look at the division of 4377372 by 129 
Let's see how many times 129 fits into 4377372.

Let's proceed to step 1:
When dividing 4 by 129, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 129

Moving on to step 2:
The number 129 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 129

Let's proceed to step 3:
If we divide 437 by 129, we get 3 and a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 387 from 437 leaves us with 50.
Include the next digit (7) from the dividend after 50, then repeat: 507 / 129

Step 4:
If we divide 507 by 129, we get 3 and a remainder of 120.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtracting 387 from 507 leaves us with 120.
Include the next digit (3) from the dividend after 120, then repeat: 1203 / 129

Let's proceed to step 5:
If we divide 1203 by 129, we get 9 and a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 339.0
The remainder is 42 after subtracting 1161 from 1203.
Take the next digit (7) from the dividend and append it to 42, then repeat: 427 / 129

On to step 6:
The number 129 fits into 427 3 times, leaving a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 3393.0
The remainder is 40 after subtracting 387 from 427.
Bring next digit (2) of the dividend behind the 40 and repeat the process: 402 / 129

Going ahead to step 7:
If we divide 402 by 129, we get 3 and a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 33933.0
Deduct 387 from 402 and we're left 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.

Going ahead to step 8:
If we divide 150 by 129, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 33933.1
Subtracting 129 from 150 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 9:
When dividing 210 by 129, we get 1 with a remainder of 81.
Put 1 as the next digit of the answer. 
Result so far: 33933.11
Deduct 129 from 210 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

The final outcome is 33933.11, with a leftover of 0.081.