We look at the division of 956319 by 9 
Let's see how many times 9 fits into 956319.

On to step 1:
If we divide 9 by 9, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 9 from 9, we get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 9

On to step 2:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 9

Moving on to step 3:
56 divided by 9 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 106.0
If we take 54 away from 56, we end up with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 9

Let's proceed to step 4:
9 can be fit into 23 2 times, resulting in a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 1062.0
Subtract 18 from 23 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 9

Moving on to step 5:
If we divide 51 by 9, we get 5 and a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 10625.0
If we subtract 45 from 51, we get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 9

Going ahead to step 6:
The number 9 fits into 69 7 times, leaving a remainder of 6.
The next digit of our result is 7. 
Result so far: 106257.0
Deduct 63 from 69 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 106257.6
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 106257.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 106257.66 with a remaining 0.006.