We look at the division of 579357 by 77 
Our goal is to divide 579357 by 77.

Moving on to step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 77

Advancing to step 2:
When dividing 57 by 77, we get 0 with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Append the next digit (9) from the dividend to 57 and continue with: 579 / 77

Let's proceed to step 3:
77 goes into 579 7 times with a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 40 after subtracting 539 from 579.
Include the next digit (3) from the dividend after 40, then repeat: 403 / 77

Advancing to step 4:
77 can be fit into 403 5 times, resulting in a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 75.0
Deduct 385 from 403 and we're left with 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 77

Moving on to step 5:
185 divided by 77 is 2 with a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 752.0
If we take 154 away from 185, we end up with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 77

Step 6:
77 goes into 317 4 times with a remainder of 9.
The next digit of our result is 4. 
Result so far: 7524.0
Deduct 308 from 317 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 77 fits into 90 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 7524.1
The remainder is 13 after subtracting 77 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
77 can be fit into 130 1 times, resulting in a remainder of 53.
The next digit of our result is 1. 
Result so far: 7524.11
If we subtract 77 from 130, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 7524.11 with a remaining 0.053.