903002 ÷ 45 
We're looking to find how many times 45 goes into 903002.

Let's proceed to step 1:
The number 45 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 45

Moving on to step 2:
If we divide 90 by 45, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 90 from 90 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 45

Going ahead to step 3:
3 divided by 45 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 45

Step 4:
45 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 200.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 45

Advancing to step 5:
300 divided by 45 is 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 2006.0
The remainder is 30 after subtracting 270 from 300.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 45

Let's proceed to step 6:
If we divide 302 by 45, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 20066.0
If we subtract 270 from 302, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
When dividing 320 by 45, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 20066.7
The remainder is 5 after subtracting 315 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
If we divide 50 by 45, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 20066.71
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
45 goes into 50 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 20066.711
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 20066.711 with a remainder of 0.0005.