We're dividing 959750 by 9 
Let's see how many times 9 fits into 959750.

Step 1:
If we divide 9 by 9, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 9 from 9 and we're left with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 9

Let's proceed to step 2:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 3:
9 goes into 59 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 106.0
If we take 54 away from 59, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 9

On to step 4:
If we divide 57 by 9, we get 6 and a remainder of 3.
The next digit of our result is 6. 
Result so far: 1066.0
If we subtract 54 from 57, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 9

Moving on to step 5:
If we divide 35 by 9, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 10663.0
Subtracting 27 from 35 leaves us with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 9

Moving on to step 6:
If we divide 80 by 9, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 106638.0
Subtract 72 from 80 to 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.

Advancing to step 7:
If we divide 80 by 9, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 106638.8
If we take 72 away from 80, we end up 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.

On to step 8:
The number 9 fits into 80 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 106638.88
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.

The quotient of the division is 106638.88, and the remainder is 0.008.