Let's divide 511077 by 45
We want to figure out the number of times 511077 can be divided by 45.

Step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 45

Advancing to step 2:
45 can be fit into 51 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 51, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 45

Step 3:
If we divide 61 by 45, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 45 from 61 to get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 45

Let's proceed to step 4:
160 divided by 45 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 113.0
If we take 135 away from 160, we end up with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 45

Step 5:
45 goes into 257 5 times with a remainder of 32.
Write down 5 as next digit of the result. 
Result so far: 1135.0
The remainder is 32 after subtracting 225 from 257.
Take the next digit (7) from the dividend and append it to 32, then repeat: 327 / 45

Advancing to step 6:
327 divided by 45 is 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 11357.0
If we subtract 315 from 327, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
45 can be fit into 120 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 11357.2
Subtracting 90 from 120 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
45 goes into 300 6 times with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 11357.26
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 11357.266
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 11357.266 with a remaining 0.003.