653114 ÷ 45 
We want to figure out the number of times 653114 can be divided by 45.

Advancing to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 45

Step 2:
65 divided by 45 is 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 45 from 65 and we're left with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 45

Advancing to step 3:
The number 45 fits into 203 4 times, leaving a remainder of 23.
The next digit of our result is 4. 
Result so far: 14.0
If we take 180 away from 203, we end up with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 45

Step 4:
The number 45 fits into 231 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 145.0
Subtracting 225 from 231 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 45

Step 5:
45 can be fit into 61 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 1451.0
Deduct 45 from 61 and we're left with 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 45

Advancing to step 6:
45 goes into 164 3 times with a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 14513.0
If we subtract 135 from 164, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
If we divide 290 by 45, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 14513.6
Subtract 270 from 290 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 14513.64
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
45 goes into 200 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 14513.644
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 14513.644 with a remaining 0.002.