Let's divide 580936 by 77
We're looking to find how many times 77 goes into 580936.

Advancing to step 1:
77 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 77

Going ahead to step 2:
If we divide 58 by 77, we get 0 and a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 77

Going ahead to step 3:
The number 77 fits into 580 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 539 from 580 to get 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 77

On to step 4:
419 divided by 77 is 5 with a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtracting 385 from 419 leaves us with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 77

Going ahead to step 5:
77 goes into 343 4 times with a remainder of 35.
Record the quotient 4 as the next digit in the result. 
Result so far: 754.0
If we subtract 308 from 343, we get 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 77

On to step 6:
77 goes into 356 4 times with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 7544.0
Subtracting 308 from 356 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
77 can be fit into 480 6 times, resulting in a remainder of 18.
The next digit of our result is 6. 
Result so far: 7544.6
Subtracting 462 from 480 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 77, we get 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 7544.62
Subtracting 154 from 180 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
If we divide 260 by 77, we get 3 and a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 7544.623
If we subtract 231 from 260, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 10:
290 divided by 77 is 3 with a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 7544.6233
If we take 231 away from 290, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Our division results in 7544.6233 with a remaining 0.00059.