172123 divided by 34 
We want to figure out the number of times 172123 can be divided by 34.

Let's proceed to step 1:
The number 34 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the 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 / 34

Moving on to step 2:
The number 34 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 34

On to step 3:
When dividing 172 by 34, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 170 away from 172, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 34

On to step 4:
When dividing 21 by 34, we get 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 50.0
Deduct 0 from 21 and we're left with 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 34

Going ahead to step 5:
34 goes into 212 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 506.0
Deduct 204 from 212 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 34

Step 6:
When dividing 83 by 34, we get 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 5062.0
The remainder is 15 after subtracting 68 from 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 34 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 5062.4
Deduct 136 from 150 and we're left 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:
34 goes into 140 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 5062.44
The remainder is 4 after subtracting 136 from 140.
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 5062.44, and the remainder is 0.004.