We're dividing 145919 by 65 
Our goal is to divide 145919 by 65.

Step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 65

Let's proceed to step 2:
If we divide 14 by 65, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 65

On to step 3:
65 goes into 145 2 times with a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 130 from 145 to get 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 65

Step 4:
65 goes into 159 2 times with a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 130 from 159 and we're left with 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 65

Moving on to step 5:
65 can be fit into 291 4 times, resulting in a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 224.0
Subtract 260 from 291 to get 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 65

Advancing to step 6:
65 goes into 319 4 times with a remainder of 59.
The number 4 becomes the next digit in our result. 
Result so far: 2244.0
If we take 260 away from 319, we end up with 59.
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:
590 divided by 65 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 2244.9
If we take 585 away from 590, we end up 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.

Advancing to step 8:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 2244.9
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.

Moving on to step 9:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 2244.907
If we subtract 455 from 500, we get 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 10:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 2244.9076
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.

Advancing to step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2244.90769
Subtracting 585 from 600 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.

On to step 12:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 2244.907692
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:
When dividing 200 by 65, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 2244.9076923
If we subtract 195 from 200, we 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.

Step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 2244.9076923
The remainder is 50 after subtracting 0 from 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 2244.9076923 with a remaining 5e-08.