We're dividing 617368 by 45 
Our goal is to divide 617368 by 45.

Moving on to step 1:
If we divide 6 by 45, we get 0 and 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

Advancing to 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
The remainder is 16 after subtracting 45 from 61.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 45

Let's proceed to step 3:
45 goes into 167 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 32 after subtracting 135 from 167.
Take the next digit (3) from the dividend and append it to 32, then repeat: 323 / 45

Moving on to step 4:
45 can be fit into 323 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 137.0
If we take 315 away from 323, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 45

Advancing to step 5:
45 goes into 86 1 times with a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 1371.0
Deduct 45 from 86 and we're left with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 45

Step 6:
If we divide 418 by 45, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 13719.0
The remainder is 13 after subtracting 405 from 418.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 45 is 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 13719.2
Subtract 90 from 130 to 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.

Moving on to step 8:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 13719.28
Deduct 360 from 400 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.

Let's proceed to step 9:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 13719.288
Subtract 360 from 400 to 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 final result is 13719.288 with a remainder of 0.004.