We're dividing 171835 by 45 
We want to figure out the number of times 171835 can be divided by 45.

Let's proceed to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 45

Going ahead to step 2:
45 can be fit into 17 0 times, resulting in a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 45

Let's proceed to step 3:
When dividing 171 by 45, we get 3 with a remainder of 36.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 135 away from 171, we end up with 36.
Include the next digit (8) from the dividend after 36, then repeat: 368 / 45

Advancing to step 4:
The number 45 fits into 368 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 38.0
Subtracting 360 from 368 leaves us with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 45

Moving on to step 5:
If we divide 83 by 45, we get 1 and a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 381.0
Deduct 45 from 83 and we're left with 38.
Bring next digit (5) of the dividend behind the 38 and repeat the process: 385 / 45

Step 6:
When dividing 385 by 45, we get 8 with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 3818.0
If we subtract 360 from 385, 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.

Going ahead to step 7:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 3818.5
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.

Advancing to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3818.55
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.

Our division results in 3818.55 with a remaining 0.025.