613504 ÷ 45 
We're looking to find how many times 45 goes into 613504.

Step 1:
45 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 45

Step 2:
When dividing 61 by 45, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 45 from 61 and we're left with 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 45

Let's proceed to step 3:
When dividing 163 by 45, we get 3 with a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 135 from 163 to get 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 45

Advancing to step 4:
When dividing 285 by 45, we get 6 with a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 136.0
The remainder is 15 after subtracting 270 from 285.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 45

Advancing to step 5:
45 goes into 150 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 1363.0
If we take 135 away from 150, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 45

Step 6:
When dividing 154 by 45, we get 3 with a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 13633.0
Deduct 135 from 154 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
45 goes into 190 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 13633.4
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 45 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 13633.42
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
When dividing 100 by 45, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 13633.422
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 13633.422 and a remainder of 0.001.