We're dividing 272629 by 45 
We want to figure out the number of times 272629 can be divided by 45.

Step 1:
45 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 45

On to step 2:
If we divide 27 by 45, we get 0 and a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 45

Let's proceed to step 3:
When dividing 272 by 45, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 270 from 272, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 45

On to step 4:
45 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 60.0
The remainder is 26 after subtracting 0 from 26.
Fetch the next digit (2) from the dividend, attach it to 26 and continue: 262 / 45

Advancing to step 5:
The number 45 fits into 262 5 times, leaving a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 605.0
Deduct 225 from 262 and we're left with 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 45

Going ahead to step 6:
If we divide 379 by 45, we get 8 and a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 6058.0
Subtract 360 from 379 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
190 divided by 45 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 6058.4
Subtract 180 from 190 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.

Let's proceed to step 8:
45 goes into 100 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 6058.42
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.

Step 9:
45 goes into 100 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 6058.422
Deduct 90 from 100 and we're left 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.

After the division, we end up with 6058.422 and a remainder of 0.001.