We're dividing 948603 by 9 
We want to figure out the number of times 948603 can be divided by 9.

Moving on to step 1:
The number 9 fits into 9 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 9 away from 9, we end up with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 9

Advancing to step 2:
The number 9 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 9

Going ahead to step 3:
If we divide 48 by 9, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
If we take 45 away from 48, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 9

Step 4:
The number 9 fits into 36 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 1054.0
Subtracting 36 from 36 leaves us with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 9

Moving on to step 5:
When dividing 0 by 9, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10540.0
If we take 0 away from 0, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 9

Let's proceed to step 6:
9 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 105400.0
Subtracting 0 from 3 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.

Let's proceed to step 7:
9 goes into 30 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 105400.3
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.

Moving on to step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 105400.33
Deduct 27 from 30 and we're left 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 quotient of the division is 105400.33, and the remainder is 0.003.