We look at the division of 111129 by 76 
We want to figure out the number of times 111129 can be divided by 76.

Step 1:
76 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 76

Going ahead to step 2:
11 divided by 76 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 76

Step 3:
111 divided by 76 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 76 from 111, we get 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 76

Advancing to step 4:
When dividing 351 by 76, we get 4 with a remainder of 47.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 47 after subtracting 304 from 351.
Append the next digit (2) from the dividend to 47 and continue with: 472 / 76

Moving on to step 5:
76 can be fit into 472 6 times, resulting in a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 146.0
Subtracting 456 from 472 leaves us with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 76

Let's proceed to step 6:
169 divided by 76 is 2 with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 1462.0
The remainder is 17 after subtracting 152 from 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
76 can be fit into 170 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 1462.2
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
If we divide 180 by 76, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1462.22
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 1462.22, and the remainder is 0.028.