We look at the division of 580646 by 77 
We're looking to find how many times 77 goes into 580646.

Advancing to step 1:
If we divide 5 by 77, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 77

On to step 2:
If we divide 58 by 77, we get 0 and a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 77

Advancing to step 3:
The number 77 fits into 580 7 times, leaving a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 41 after subtracting 539 from 580.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 77

Advancing to step 4:
77 can be fit into 416 5 times, resulting in a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 75.0
If we take 385 away from 416, we end up with 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 77

On to step 5:
The number 77 fits into 314 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 754.0
Subtract 308 from 314 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 77

On to step 6:
77 goes into 66 0 times with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 7540.0
Subtract 0 from 66 to 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.

Step 7:
660 divided by 77 is 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 7540.8
Deduct 616 from 660 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
If we divide 440 by 77, we get 5 and a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 7540.85
Subtract 385 from 440 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 9:
The number 77 fits into 550 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 7540.857
Deduct 539 from 550 and we're left 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.

Let's proceed to step 10:
77 can be fit into 110 1 times, resulting in a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 7540.8571
Subtracting 77 from 110 leaves us with 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 11:
The number 77 fits into 330 4 times, leaving a remainder of 22.
The next digit of our result is 4. 
Result so far: 7540.85714
Subtract 308 from 330 to 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.

Advancing to step 12:
77 goes into 220 2 times with a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 7540.857142
The remainder is 66 after subtracting 154 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
77 goes into 660 8 times with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 7540.8571428
The remainder is 44 after subtracting 616 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
440 divided by 77 is 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 7540.85714285
The remainder is 55 after subtracting 385 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

After the division, we end up with 7540.85714285 and a remainder of 5.5e-08.