We look at the division of 871559 by 45 
We want to divide 871559 by 45.

Moving on to 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
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 45

Step 2:
45 goes into 87 1 times with a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 87 and we're left with 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 45

Moving on to step 3:
If we divide 421 by 45, we get 9 and a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 405 from 421 leaves us with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 45

Moving on to step 4:
165 divided by 45 is 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 193.0
Deduct 135 from 165 and we're left with 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 45

Advancing to step 5:
305 divided by 45 is 6 with a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 1936.0
Deduct 270 from 305 and we're left with 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 45

Step 6:
359 divided by 45 is 7 with a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 19367.0
If we subtract 315 from 359, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
440 divided by 45 is 9 with a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 19367.9
Subtracting 405 from 440 leaves us 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.

Moving on to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 19367.97
Deduct 315 from 350 and we're left 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.

Going ahead to step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 19367.977
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.

Our division results in 19367.977 with a remaining 0.0035.