We divide 582730 by 77
We want to divide 582730 by 77.

Moving on to step 1:
If we divide 5 by 77, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 77

Step 2:
77 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Grab the next digit (2) from the dividend, add it to 58, then carry on: 582 / 77

Step 3:
77 goes into 582 7 times with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 539 from 582 and we're left with 43.
Fetch the next digit (7) from the dividend, attach it to 43 and continue: 437 / 77

Let's proceed to step 4:
If we divide 437 by 77, we get 5 and a remainder of 52.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtracting 385 from 437 leaves us with 52.
Include the next digit (3) from the dividend after 52, then repeat: 523 / 77

Let's proceed to step 5:
If we divide 523 by 77, we get 6 and a remainder of 61.
Use 6 as the next digit of our solution. 
Result so far: 756.0
Deduct 462 from 523 and we're left with 61.
Fetch the next digit (0) from the dividend, attach it to 61 and continue: 610 / 77

Let's proceed to step 6:
If we divide 610 by 77, we get 7 and a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 7567.0
Subtract 539 from 610 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on 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: 7567.9
The remainder is 17 after subtracting 693 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
77 goes into 170 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 7567.92
If we subtract 154 from 170, we 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.

Let's proceed 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: 7567.922
Subtract 154 from 160 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 7567.922, and the remainder is 0.0006.