38212 ÷ 65 
We want to figure out the number of times 38212 can be divided by 65.

Step 1:
3 divided by 65 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 65

Going ahead to step 2:
38 divided by 65 is 0 with a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Bring next digit (2) of the dividend behind the 38 and repeat the process: 382 / 65

On to step 3:
382 divided by 65 is 5 with a remainder of 57.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 325 from 382, we get 57.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 65

On to step 4:
The number 65 fits into 571 8 times, leaving a remainder of 51.
Write down 8 as next digit of the result. 
Result so far: 58.0
The remainder is 51 after subtracting 520 from 571.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 65

Moving on to step 5:
If we divide 512 by 65, we get 7 and a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 587.0
Subtract 455 from 512 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 6:
When dividing 570 by 65, we get 8 with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 587.8
If we subtract 520 from 570, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 587.87
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
If we divide 450 by 65, we get 6 and a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 587.876
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
When dividing 600 by 65, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 587.8769
If we take 585 away from 600, we end up 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.

Step 10:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 587.87692
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 587.876923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 587.876923
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 587.87692307
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 587.87692307 with a remaining 4.5e-08.