We're dividing 511631 by 45 
We want to figure out the number of times 511631 can be divided by 45.

Step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 45

Step 2:
If we divide 51 by 45, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 51, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 45

Going ahead to step 3:
45 goes into 61 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 16 after subtracting 45 from 61.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 45

Step 4:
166 divided by 45 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 113.0
If we subtract 135 from 166, we get 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 45

On to step 5:
45 can be fit into 313 6 times, resulting in a remainder of 43.
The number 6 becomes the next digit in our result. 
Result so far: 1136.0
The remainder is 43 after subtracting 270 from 313.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 45

Going ahead to step 6:
When dividing 431 by 45, we get 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 11369.0
If we subtract 405 from 431, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
45 goes into 260 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 11369.5
Subtract 225 from 260 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 11369.57
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 11369.577
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 11369.577 and a remainder of 0.0035.