705725 ÷ 9 
We're looking to find how many times 9 goes into 705725.

Let's proceed to step 1:
If we divide 7 by 9, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 9

On to step 2:
When dividing 70 by 9, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 63 from 70, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 9

Let's proceed to step 3:
The number 9 fits into 75 8 times, leaving a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 72 from 75, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 4:
When dividing 37 by 9, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 784.0
Subtract 36 from 37 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 9

Step 5:
The number 9 fits into 12 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 7841.0
Deduct 9 from 12 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 9

Moving on to step 6:
9 goes into 35 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 78413.0
Subtracting 27 from 35 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 78413.8
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 78413.88
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 78413.88 with a remaining 0.008.