975721 divided by 9 
Our goal is to divide 975721 by 9.

Advancing to step 1:
9 goes into 9 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 9 from 9.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 9

Step 2:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 9

Advancing to step 3:
The number 9 fits into 75 8 times, leaving a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 108.0
If we take 72 away from 75, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 9

Going ahead to step 4:
The number 9 fits into 37 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 1084.0
Subtract 36 from 37 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 9

Step 5:
The number 9 fits into 12 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 10841.0
Subtracting 9 from 12 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 9

Moving on to step 6:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 108413.0
If we take 27 away from 31, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
9 goes into 40 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 108413.4
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
9 goes into 40 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 108413.44
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 108413.44 with a remaining 0.004.