753120 ÷ 77 
We want to divide 753120 by 77.

Let's proceed to step 1:
77 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 77

Moving on to step 2:
77 goes into 75 0 times with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Grab the next digit (3) from the dividend, add it to 75, then carry on: 753 / 77

On to step 3:
77 goes into 753 9 times with a remainder of 60.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 693 from 753 and we're left with 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 77

Advancing to step 4:
77 goes into 601 7 times with a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Subtracting 539 from 601 leaves us with 62.
Bring next digit (2) of the dividend behind the 62 and repeat the process: 622 / 77

On to step 5:
77 can be fit into 622 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 978.0
Subtract 616 from 622 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 77

On to step 6:
77 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 9780.0
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
77 can be fit into 600 7 times, resulting in a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 9780.7
Deduct 539 from 600 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 8:
610 divided by 77 is 7 with a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 9780.77
If we subtract 539 from 610, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The quotient of the division is 9780.77, and the remainder is 0.071.