610024 ÷ 45 
We're looking to find how many times 45 goes into 610024.

Advancing to step 1:
45 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 45

Let's proceed to step 2:
61 divided by 45 is 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 61 leaves us with 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 45

Moving on to step 3:
The number 45 fits into 160 3 times, leaving a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 135 away from 160, we end up with 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 45

Let's proceed to step 4:
250 divided by 45 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtract 225 from 250 to get 25.
Take the next digit (2) from the dividend and append it to 25, then repeat: 252 / 45

Advancing to step 5:
45 goes into 252 5 times with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 1355.0
Subtract 225 from 252 to get 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 45

On to step 6:
45 can be fit into 274 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 13556.0
If we subtract 270 from 274, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
45 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 13556.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
45 goes into 400 8 times with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 13556.08
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 13556.088
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 13556.088, and the remainder is 0.004.