172434 ÷ 90 
Our goal is to divide 172434 by 90.

Let's proceed to step 1:
90 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 90

Step 2:
90 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 subtract 0 from 17, we get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 90

Advancing to step 3:
If we divide 172 by 90, we get 1 and a remainder of 82.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 82 after subtracting 90 from 172.
Take the next digit (4) from the dividend and append it to 82, then repeat: 824 / 90

Going ahead to step 4:
The number 90 fits into 824 9 times, leaving a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 810 from 824, we get 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 90

Advancing to step 5:
If we divide 143 by 90, we get 1 and a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 191.0
Subtract 90 from 143 to get 53.
Include the next digit (4) from the dividend after 53, then repeat: 534 / 90

Moving on to step 6:
534 divided by 90 is 5 with a remainder of 84.
The number 5 becomes the next digit in our result. 
Result so far: 1915.0
Subtracting 450 from 534 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 7:
90 goes into 840 9 times with a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 1915.9
Subtract 810 from 840 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.

Let's proceed to step 8:
If we divide 300 by 90, we get 3 and a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 1915.93
Deduct 270 from 300 and we're left 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.

Advancing to step 9:
90 goes into 300 3 times with a remainder of 30.
The next digit of our result is 3. 
Result so far: 1915.933
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.

Our division results in 1915.933 with a remaining 0.003.