We look at the division of 584617 by 77 
Let's see how many times 77 fits into 584617.

Step 1:
5 divided by 77 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 77

On to step 2:
58 divided by 77 is 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 77

Step 3:
584 divided by 77 is 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 539 from 584 and we're left with 45.
Append the next digit (6) from the dividend to 45 and continue with: 456 / 77

Let's proceed to step 4:
77 can be fit into 456 5 times, resulting in a remainder of 71.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we take 385 away from 456, we end up with 71.
Take the next digit (1) from the dividend and append it to 71, then repeat: 711 / 77

Let's proceed to step 5:
77 can be fit into 711 9 times, resulting in a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 759.0
Deduct 693 from 711 and we're left with 18.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 77

Step 6:
The number 77 fits into 187 2 times, leaving a remainder of 33.
The next digit of our result is 2. 
Result so far: 7592.0
If we subtract 154 from 187, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
When dividing 330 by 77, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 7592.4
If we subtract 308 from 330, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
220 divided by 77 is 2 with a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 7592.42
If we subtract 154 from 220, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
77 goes into 660 8 times with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 7592.428
If we subtract 616 from 660, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
When dividing 440 by 77, we get 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 7592.4285
Subtracting 385 from 440 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 11:
77 can be fit into 550 7 times, resulting in a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 7592.42857
If we take 539 away from 550, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 12:
110 divided by 77 is 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 7592.428571
Subtract 77 from 110 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 13:
When dividing 330 by 77, we get 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 7592.4285714
Subtracting 308 from 330 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 14:
77 goes into 220 2 times with a remainder of 66.
The next digit of our result is 2. 
Result so far: 7592.42857142
Deduct 154 from 220 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 7592.42857142 with a remainder of 6.6e-08.