577589 divided by 77 
Our goal is to divide 577589 by 77.

Step 1:
77 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 77

Let's proceed to step 2:
The number 77 fits into 57 0 times, leaving a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Take the next digit (7) from the dividend and append it to 57, then repeat: 577 / 77

Step 3:
77 goes into 577 7 times with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 539 away from 577, we end up with 38.
Take the next digit (5) from the dividend and append it to 38, then repeat: 385 / 77

Going ahead to step 4:
77 can be fit into 385 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we take 385 away from 385, we end up with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 77

Moving on to step 5:
8 divided by 77 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 750.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 77

Advancing to step 6:
When dividing 89 by 77, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 7501.0
Deduct 77 from 89 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 77, we get 1 with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 7501.1
Subtracting 77 from 120 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 8:
77 can be fit into 430 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 7501.15
Deduct 385 from 430 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 9:
When dividing 450 by 77, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 7501.155
The remainder is 65 after subtracting 385 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 7501.155 with a remaining 0.0065.