We're dividing 921581 by 45 
We want to figure out the number of times 921581 can be divided by 45.

On to step 1:
If we divide 9 by 45, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 45

Moving on to step 2:
If we divide 92 by 45, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 90 from 92, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 45

Step 3:
45 goes into 21 0 times with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtract 0 from 21 to get 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 45

Moving on to step 4:
When dividing 215 by 45, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 204.0
Deduct 180 from 215 and we're left with 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 45

Step 5:
358 divided by 45 is 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 2047.0
The remainder is 43 after subtracting 315 from 358.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 45

Advancing to step 6:
If we divide 431 by 45, we get 9 and a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 20479.0
Subtract 405 from 431 to 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.

Moving on to step 7:
If we divide 260 by 45, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 20479.5
The remainder is 35 after subtracting 225 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
45 goes into 350 7 times with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 20479.57
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:
350 divided by 45 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 20479.577
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.

The quotient of the division is 20479.577, and the remainder is 0.0035.