435721 ÷ 45 
Let's see how many times 45 fits into 435721.

Going ahead to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 45

Going ahead to step 2:
If we divide 43 by 45, we get 0 and a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 45

Going ahead to step 3:
The number 45 fits into 435 9 times, leaving a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 405 from 435 to get 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 45

Step 4:
45 goes into 307 6 times with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtracting 270 from 307 leaves us with 37.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 45

Going ahead to step 5:
When dividing 372 by 45, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 968.0
The remainder is 12 after subtracting 360 from 372.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 45

Advancing to step 6:
When dividing 121 by 45, we get 2 with a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 9682.0
Deduct 90 from 121 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
If we divide 310 by 45, we get 6 and a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 9682.6
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 9682.68
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
The number 45 fits into 400 8 times, leaving a remainder of 40.
The next digit of our result is 8. 
Result so far: 9682.688
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 9682.688 and a remainder of 0.004.