529621 ÷ 45 
Our goal is to divide 529621 by 45.

Advancing to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 45

Step 2:
45 goes into 52 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 52 and we're left with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 45

On to step 3:
79 divided by 45 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 45 from 79 leaves us with 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 45

Advancing to step 4:
346 divided by 45 is 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
Deduct 315 from 346 and we're left with 31.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 45

Step 5:
The number 45 fits into 312 6 times, leaving a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 1176.0
If we subtract 270 from 312, we get 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 45

Moving on to step 6:
421 divided by 45 is 9 with a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 11769.0
If we subtract 405 from 421, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
If we divide 160 by 45, we get 3 and a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 11769.3
Subtracting 135 from 160 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 11769.35
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
When dividing 250 by 45, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 11769.355
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 11769.355 with a remaining 0.0025.