583211 ÷ 77 
We want to divide 583211 by 77.

Moving on to step 1:
The number 77 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 77

Advancing to step 2:
The number 77 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (3) from the dividend, add it to 58, then carry on: 583 / 77

Going ahead to step 3:
If we divide 583 by 77, we get 7 and a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 539 away from 583, we end up with 44.
Grab the next digit (2) from the dividend, add it to 44, then carry on: 442 / 77

Advancing to step 4:
If we divide 442 by 77, we get 5 and a remainder of 57.
The next digit of our result is 5. 
Result so far: 75.0
If we subtract 385 from 442, we get 57.
Fetch the next digit (1) from the dividend, attach it to 57 and continue: 571 / 77

Let's proceed to step 5:
If we divide 571 by 77, we get 7 and a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 757.0
The remainder is 32 after subtracting 539 from 571.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 77

On to step 6:
The number 77 fits into 321 4 times, leaving a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 7574.0
Subtract 308 from 321 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 77 is 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 7574.1
If we take 77 away from 130, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 8:
77 can be fit into 530 6 times, resulting in a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 7574.16
Deduct 462 from 530 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
When dividing 680 by 77, we get 8 with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 7574.168
If we take 616 away from 680, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
When dividing 640 by 77, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 7574.1688
If we subtract 616 from 640, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 7574.1688, and the remainder is 0.00024.