159603 ÷ 9 
We want to figure out the number of times 159603 can be divided by 9.

On to step 1:
1 divided by 9 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 9

Step 2:
15 divided by 9 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 9 from 15 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 9

Going ahead to step 3:
9 can be fit into 69 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 63 from 69 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

Going ahead to step 4:
When dividing 66 by 9, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
Deduct 63 from 66 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 9

Let's proceed to step 5:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 1773.0
The remainder is 3 after subtracting 27 from 30.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 9

On to step 6:
9 goes into 33 3 times with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 17733.0
The remainder is 6 after subtracting 27 from 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
When dividing 60 by 9, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 17733.6
If we subtract 54 from 60, we 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.

Moving on to step 8:
If we divide 60 by 9, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 17733.66
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 17733.66, and the remainder is 0.006.