705609 ÷ 80 
Our goal is to divide 705609 by 80.

Let's proceed to step 1:
80 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 80

Step 2:
80 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Append the next digit (5) from the dividend to 70 and continue with: 705 / 80

Advancing to step 3:
If we divide 705 by 80, we get 8 and a remainder of 65.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 640 from 705 leaves us with 65.
Include the next digit (6) from the dividend after 65, then repeat: 656 / 80

Moving on to step 4:
80 goes into 656 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Subtract 640 from 656 to get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 80

Advancing to step 5:
If we divide 160 by 80, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 882.0
Subtracting 160 from 160 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 80

On to step 6:
When dividing 9 by 80, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 8820.0
The remainder is 9 after subtracting 0 from 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
The number 80 fits into 90 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 8820.1
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 80 fits into 100 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 8820.11
Subtracting 80 from 100 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 8820.11 with a balance of 0.02.