We're dividing 172225 by 34 
We're looking to find how many times 34 goes into 172225.

Advancing to step 1:
34 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 34

Going ahead to step 2:
When dividing 17 by 34, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 34

Step 3:
The number 34 fits into 172 5 times, leaving a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 2 after subtracting 170 from 172.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 34

Going ahead to step 4:
22 divided by 34 is 0 with a remainder of 22.
The next digit of our result is 0. 
Result so far: 50.0
The remainder is 22 after subtracting 0 from 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 34

Going ahead to step 5:
The number 34 fits into 222 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 506.0
If we subtract 204 from 222, we get 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 34

Moving on to step 6:
185 divided by 34 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5065.0
Deduct 170 from 185 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
34 goes into 150 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 5065.4
Subtracting 136 from 150 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
The number 34 fits into 140 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 5065.44
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 5065.44, and the remainder is 0.004.