We're dividing 511751 by 80 
Let's see how many times 80 fits into 511751.

Advancing to step 1:
When dividing 5 by 80, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 80

Step 2:
80 goes into 51 0 times with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 80

Going ahead to step 3:
80 goes into 511 6 times with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 480 from 511 leaves us with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 80

On to step 4:
80 can be fit into 317 3 times, resulting in a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we subtract 240 from 317, we get 77.
Include the next digit (5) from the dividend after 77, then repeat: 775 / 80

Advancing to step 5:
The number 80 fits into 775 9 times, leaving a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 639.0
Subtract 720 from 775 to get 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 80

Moving on to step 6:
80 goes into 551 6 times with a remainder of 71.
The number 6 becomes the next digit in our result. 
Result so far: 6396.0
Subtracting 480 from 551 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
When dividing 710 by 80, we get 8 with a remainder of 70.
The next digit of our result is 8. 
Result so far: 6396.8
Deduct 640 from 710 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
80 goes into 700 8 times with a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 6396.88
Deduct 640 from 700 and we're left 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.

In conclusion, the division gives 6396.88 with a balance of 0.06.