We're dividing 586777 by 80 
We want to figure out the number of times 586777 can be divided by 80.

Going ahead to step 1:
80 goes into 5 0 times with 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.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 80

Step 2:
The number 80 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 80

On to step 3:
If we divide 586 by 80, we get 7 and a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 560 from 586, we get 26.
Fetch the next digit (7) from the dividend, attach it to 26 and continue: 267 / 80

On to step 4:
80 can be fit into 267 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Deduct 240 from 267 and we're left with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 80

Step 5:
277 divided by 80 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 733.0
Subtracting 240 from 277 leaves us with 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 80

Going ahead to step 6:
80 can be fit into 377 4 times, resulting in a remainder of 57.
Write down 4 as next digit of the result. 
Result so far: 7334.0
The remainder is 57 after subtracting 320 from 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 7:
80 goes into 570 7 times with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 7334.7
If we subtract 560 from 570, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
80 can be fit into 100 1 times, resulting in a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 7334.71
Deduct 80 from 100 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
200 divided by 80 is 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 7334.712
Subtracting 160 from 200 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
400 divided by 80 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 7334.7125
Subtract 400 from 400 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
80 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7334.7125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 12:
If we divide 0 by 80, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7334.7125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 7334.7125, with a leftover of 0.0.