We're dividing 4145 by 65 
We want to divide 4145 by 65.

Step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 65

Going ahead to step 2:
The number 65 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 65

On to step 3:
414 divided by 65 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 390 from 414 to get 24.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 65

Advancing to step 4:
When dividing 245 by 65, we get 3 with a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we subtract 195 from 245, 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 5:
500 divided by 65 is 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 63.7
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 6:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 63.76
If we take 390 away from 450, we end up 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.

On to step 7:
65 goes into 600 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 63.769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
65 goes into 150 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 63.7692
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.

Moving on to step 9:
The number 65 fits into 200 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 63.76923
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.

Let's proceed to step 10:
50 divided by 65 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 63.76923
Deduct 0 from 50 and we're left 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:
If we divide 500 by 65, we get 7 and a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 63.7692307
Subtracting 455 from 500 leaves us 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.

Let's proceed to step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 63.76923076
Deduct 390 from 450 and we're left 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.

Our division results in 63.76923076 with a remaining 6e-08.