We're dividing 386874 by 65 
We want to divide 386874 by 65.

On to step 1:
3 divided by 65 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 65

Moving on to step 2:
When dividing 38 by 65, we get 0 with 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.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 65

On to step 3:
386 divided by 65 is 5 with a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 61 after subtracting 325 from 386.
Fetch the next digit (8) from the dividend, attach it to 61 and continue: 618 / 65

Advancing to step 4:
618 divided by 65 is 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 585 away from 618, we end up with 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 65

On to step 5:
65 goes into 337 5 times with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 595.0
The remainder is 12 after subtracting 325 from 337.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 65

Let's proceed to step 6:
If we divide 124 by 65, we get 1 and a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 5951.0
The remainder is 59 after subtracting 65 from 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
65 can be fit into 590 9 times, resulting in a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 5951.9
Subtract 585 from 590 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
If we divide 50 by 65, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5951.9
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.

Going ahead to step 9:
When dividing 500 by 65, we get 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 5951.907
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.

Moving on to step 10:
If we divide 450 by 65, we get 6 and a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 5951.9076
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 11:
65 goes into 600 9 times with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 5951.90769
Deduct 585 from 600 and we're left 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.

On to step 12:
150 divided by 65 is 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 5951.907692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
200 divided by 65 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 5951.9076923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5951.9076923
Subtract 0 from 50 to 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.

Our division results in 5951.9076923 with a remaining 5e-08.