We're dividing 38665 by 84 
We're looking to find how many times 84 goes into 38665.

Going ahead to step 1:
When dividing 3 by 84, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 84

Let's proceed to step 2:
The number 84 fits into 38 0 times, leaving a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Fetch the next digit (6) from the dividend, attach it to 38 and continue: 386 / 84

Moving on to step 3:
386 divided by 84 is 4 with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 50 after subtracting 336 from 386.
Include the next digit (6) from the dividend after 50, then repeat: 506 / 84

Let's proceed to step 4:
506 divided by 84 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we subtract 504 from 506, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 84

Let's proceed to step 5:
84 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 460.0
Subtracting 0 from 25 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 6:
The number 84 fits into 250 2 times, leaving a remainder of 82.
Use 2 as the next digit of our solution. 
Result so far: 460.2
The remainder is 82 after subtracting 168 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 7:
820 divided by 84 is 9 with a remainder of 64.
Use 9 as the next digit of our solution. 
Result so far: 460.29
Deduct 756 from 820 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 460.297
Subtracting 588 from 640 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
When dividing 520 by 84, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 460.2976
Deduct 504 from 520 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
84 can be fit into 160 1 times, resulting in a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 460.29761
The remainder is 76 after subtracting 84 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 11:
If we divide 760 by 84, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 460.297619
Deduct 756 from 760 and we're left 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.

On to step 12:
84 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 460.297619
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
The number 84 fits into 400 4 times, leaving a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 460.29761904
If we take 336 away from 400, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 460.29761904, and the remainder is 6.4e-08.