We're dividing 596721 by 77 
Our goal is to divide 596721 by 77.

Going ahead to step 1:
77 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 77

On to step 2:
77 can be fit into 59 0 times, resulting in a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Append the next digit (6) from the dividend to 59 and continue with: 596 / 77

Let's proceed to step 3:
77 goes into 596 7 times with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 539 from 596, we get 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 77

Moving on to step 4:
When dividing 577 by 77, we get 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 77.0
The remainder is 38 after subtracting 539 from 577.
Grab the next digit (2) from the dividend, add it to 38, then carry on: 382 / 77

Advancing to step 5:
382 divided by 77 is 4 with a remainder of 74.
The next digit of our result is 4. 
Result so far: 774.0
The remainder is 74 after subtracting 308 from 382.
Bring next digit (1) of the dividend behind the 74 and repeat the process: 741 / 77

On to step 6:
When dividing 741 by 77, we get 9 with a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 7749.0
If we take 693 away from 741, we end up 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.

Advancing to step 7:
When dividing 480 by 77, we get 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 7749.6
If we take 462 away from 480, we end up 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.

Moving on to step 8:
77 goes into 180 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 7749.62
Deduct 154 from 180 and we're left 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.

Moving on to step 9:
When dividing 260 by 77, we get 3 with a remainder of 29.
The next digit of our result is 3. 
Result so far: 7749.623
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
If we divide 290 by 77, we get 3 and a remainder of 59.
The next digit of our result is 3. 
Result so far: 7749.6233
Deduct 231 from 290 and we're left 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.

The final outcome is 7749.6233, with a leftover of 0.00059.