We look at the division of 388669 by 65 
Our goal is to divide 388669 by 65.

Moving on to step 1:
65 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 65

On to step 2:
65 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 65

On to step 3:
If we divide 388 by 65, we get 5 and a remainder of 63.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 325 from 388, we get 63.
Take the next digit (6) from the dividend and append it to 63, then repeat: 636 / 65

Let's proceed to step 4:
If we divide 636 by 65, we get 9 and a remainder of 51.
The next digit of our result is 9. 
Result so far: 59.0
Subtract 585 from 636 to get 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 65

Advancing to step 5:
When dividing 516 by 65, we get 7 with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 597.0
Subtract 455 from 516 to get 61.
Take the next digit (9) from the dividend and append it to 61, then repeat: 619 / 65

Step 6:
If we divide 619 by 65, we get 9 and a remainder of 34.
The next digit of our result is 9. 
Result so far: 5979.0
Subtract 585 from 619 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
340 divided by 65 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 5979.5
Subtracting 325 from 340 leaves us 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.

Moving on to step 8:
150 divided by 65 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 5979.52
If we take 130 away from 150, 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.

Step 9:
If we divide 200 by 65, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 5979.523
Subtracting 195 from 200 leaves us 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.

Going ahead to step 10:
If we divide 50 by 65, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 5979.523
Subtracting 0 from 50 leaves us 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.

Let's proceed to step 11:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 5979.52307
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.

Let's proceed to step 12:
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: 5979.523076
Subtract 390 from 450 to get 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 13:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 5979.5230769
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
150 divided by 65 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 5979.52307692
Subtract 130 from 150 to 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.

The final result is 5979.52307692 with a remainder of 2e-08.