288128 ÷ 77 
Our goal is to divide 288128 by 77.

Advancing to step 1:
If we divide 2 by 77, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 77

Step 2:
28 divided by 77 is 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 28, we get 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 77

Advancing to step 3:
77 can be fit into 288 3 times, resulting in a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 231 from 288 leaves us with 57.
Append the next digit (1) from the dividend to 57 and continue with: 571 / 77

Moving on to step 4:
The number 77 fits into 571 7 times, leaving a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we subtract 539 from 571, we get 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 77

Advancing to step 5:
322 divided by 77 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 374.0
Subtracting 308 from 322 leaves us with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 77

Advancing to step 6:
If we divide 148 by 77, we get 1 and a remainder of 71.
Write down 1 as next digit of the result. 
Result so far: 3741.0
Deduct 77 from 148 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 7:
77 can be fit into 710 9 times, resulting in a remainder of 17.
The next digit of our result is 9. 
Result so far: 3741.9
If we take 693 away from 710, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
77 can be fit into 170 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 3741.92
Subtract 154 from 170 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
When dividing 160 by 77, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 3741.922
The remainder is 6 after subtracting 154 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 3741.922 with a remainder of 0.0006.