42603 ÷ 24 
We want to figure out the number of times 42603 can be divided by 24.

Advancing to step 1:
24 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 24

Advancing to step 2:
When dividing 42 by 24, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 24 from 42 leaves us with 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 24

Let's proceed to step 3:
186 divided by 24 is 7 with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 168 away from 186, we end up with 18.
Grab the next digit (0) from the dividend, add it to 18, then carry on: 180 / 24

Going ahead to step 4:
The number 24 fits into 180 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 177.0
If we subtract 168 from 180, we get 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 24

On to step 5:
24 can be fit into 123 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 1775.0
Deduct 120 from 123 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.

Moving on to step 6:
24 can be fit into 30 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 1775.1
If we subtract 24 from 30, 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.

Advancing to step 7:
24 goes into 60 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 1775.12
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
120 divided by 24 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 1775.125
If we subtract 120 from 120, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 24 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1775.125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
The number 24 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1775.125
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 1775.125 and a remainder of 0.0.