We look at the division of 9642 by 9 
Let's see how many times 9 fits into 9642.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 9 from 9 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 9

Advancing to step 2:
9 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 9

Advancing to step 3:
The number 9 fits into 64 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 107.0
Deduct 63 from 64 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 9

Let's proceed to step 4:
9 goes into 12 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1071.0
Subtracting 9 from 12 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 5:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 1071.3
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 1071.33
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 1071.33 with a remainder of 0.003.