172184 divided by 38 
We're looking to find how many times 38 goes into 172184.

Going ahead to step 1:
38 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 38

Going ahead to step 2:
38 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 38

Let's proceed to step 3:
If we divide 172 by 38, we get 4 and a remainder of 20.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 152 from 172 leaves us with 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 38

Let's proceed to step 4:
When dividing 201 by 38, we get 5 with a remainder of 11.
The next digit of our result is 5. 
Result so far: 45.0
Subtract 190 from 201 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 38

Let's proceed to step 5:
118 divided by 38 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 453.0
Subtract 114 from 118 to get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 38

On to step 6:
The number 38 fits into 44 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 4531.0
The remainder is 6 after subtracting 38 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 38, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 4531.1
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 38 fits into 220 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 4531.15
Subtract 190 from 220 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.

Advancing to step 9:
If we divide 300 by 38, we get 7 and a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 4531.157
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
If we divide 340 by 38, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 4531.1578
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
The number 38 fits into 360 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 4531.15789
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
180 divided by 38 is 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 4531.157894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
When dividing 280 by 38, we get 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 4531.1578947
Subtracting 266 from 280 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.

Let's proceed to step 14:
If we divide 140 by 38, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 4531.15789473
If we take 114 away from 140, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 4531.15789473 with a remainder of 2.6e-08.