38401 ÷ 65 
Our goal is to divide 38401 by 65.

Going ahead to step 1:
If we divide 3 by 65, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
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 / 65

Step 2:
When dividing 38 by 65, we get 0 with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Append the next digit (4) from the dividend to 38 and continue with: 384 / 65

Going ahead to step 3:
If we divide 384 by 65, we get 5 and a remainder of 59.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 59 after subtracting 325 from 384.
Fetch the next digit (0) from the dividend, attach it to 59 and continue: 590 / 65

Going ahead to step 4:
If we divide 590 by 65, we get 9 and a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 59.0
Subtract 585 from 590 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 65

Let's proceed to step 5:
If we divide 51 by 65, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 590.0
Subtracting 0 from 51 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 6:
510 divided by 65 is 7 with a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 590.7
If we take 455 away from 510, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 590.78
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 590.784
Deduct 260 from 300 and we're left 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.

Going ahead to step 9:
If we divide 400 by 65, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 590.7846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 590.78461
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
350 divided by 65 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 590.784615
If we take 325 away from 350, we end up 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.

On to step 12:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 590.7846153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 13:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 590.78461538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 590.78461538, with a leftover of 3e-08.