We look at the division of 965593 by 9 
Our goal is to divide 965593 by 9.

On to step 1:
9 can be fit into 9 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 9 from 9 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 9

On to step 2:
6 divided by 9 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 3:
65 divided by 9 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Subtract 63 from 65 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 9

Advancing to step 4:
If we divide 25 by 9, we get 2 and a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 1072.0
If we take 18 away from 25, we end up with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 9

On to step 5:
The number 9 fits into 79 8 times, leaving a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 10728.0
The remainder is 7 after subtracting 72 from 79.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 9

Step 6:
9 can be fit into 73 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 107288.0
The remainder is 1 after subtracting 72 from 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 107288.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
10 divided by 9 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 107288.11
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 107288.11 and a remainder of 0.001.