We're dividing 875649 by 45 
We're looking to find how many times 45 goes into 875649.

Step 1:
45 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 45

On to step 2:
If we divide 87 by 45, we get 1 and a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 42 after subtracting 45 from 87.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 45

Let's proceed to step 3:
45 goes into 425 9 times with a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 405 from 425 and we're left with 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 45

Advancing to step 4:
When dividing 206 by 45, we get 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 194.0
If we take 180 away from 206, we end up with 26.
Fetch the next digit (4) from the dividend, attach it to 26 and continue: 264 / 45

On to step 5:
45 can be fit into 264 5 times, resulting in a remainder of 39.
Use 5 as the next digit of our solution. 
Result so far: 1945.0
Subtracting 225 from 264 leaves us with 39.
Bring next digit (9) of the dividend behind the 39 and repeat the process: 399 / 45

Going ahead to step 6:
The number 45 fits into 399 8 times, leaving a remainder of 39.
Use 8 as the next digit of our solution. 
Result so far: 19458.0
Subtracting 360 from 399 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
The number 45 fits into 390 8 times, leaving a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 19458.8
Subtract 360 from 390 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.

Going ahead to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
The next digit of our result is 6. 
Result so far: 19458.86
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.

Step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 19458.866
If we take 270 away from 300, we end up 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.

After the division, we end up with 19458.866 and a remainder of 0.003.