172464 divided by 38 
We want to figure out the number of times 172464 can be divided by 38.

Going ahead to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 38

Moving on to step 2:
38 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 38

Moving on to step 3:
When dividing 172 by 38, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 152 from 172 and we're left with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 38

Let's proceed to step 4:
The number 38 fits into 204 5 times, leaving a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 190 from 204 to get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 38

On to step 5:
38 goes into 146 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 453.0
Subtracting 114 from 146 leaves us with 32.
Bring next digit (4) of the dividend behind the 32 and repeat the process: 324 / 38

Moving on to step 6:
When dividing 324 by 38, we get 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 4538.0
If we take 304 away from 324, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 4538.5
If we take 190 away from 200, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 4538.52
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
If we divide 240 by 38, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 4538.526
If we take 228 away from 240, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
38 goes into 120 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 4538.5263
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
If we divide 60 by 38, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 4538.52631
If we take 38 away from 60, we end up with 22.
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 12:
220 divided by 38 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 4538.526315
If we subtract 190 from 220, we 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 13:
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: 4538.5263157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
340 divided by 38 is 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 4538.52631578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 4538.52631578 and a remainder of 3.6e-08.