We're dividing 529165 by 45 
We're looking to find how many times 45 goes into 529165.

Moving on to step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 45

Moving on to step 2:
The number 45 fits into 52 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 52, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 45

On to step 3:
79 divided by 45 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 34 after subtracting 45 from 79.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 45

On to step 4:
If we divide 341 by 45, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 117.0
Subtracting 315 from 341 leaves us with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 45

Let's proceed to step 5:
45 can be fit into 266 5 times, resulting in a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 1175.0
Deduct 225 from 266 and we're left with 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 45

Step 6:
45 can be fit into 415 9 times, resulting in a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 11759.0
Subtracting 405 from 415 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 7:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 11759.2
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.

On to step 8:
100 divided by 45 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 11759.22
If we subtract 90 from 100, we 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.

After the division, we end up with 11759.22 and a remainder of 0.01.