We look at the division of 305741 by 65 
We're looking to find how many times 65 goes into 305741.

Advancing to step 1:
If we divide 3 by 65, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 65

Step 2:
When dividing 30 by 65, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 65

Step 3:
The number 65 fits into 305 4 times, leaving a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 260 from 305 and we're left with 45.
Bring next digit (7) of the dividend behind the 45 and repeat the process: 457 / 65

On to step 4:
65 goes into 457 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
The remainder is 2 after subtracting 455 from 457.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 65

Step 5:
The number 65 fits into 24 0 times, leaving a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 470.0
If we take 0 away from 24, we end up with 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 65

Going ahead to step 6:
241 divided by 65 is 3 with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 4703.0
If we subtract 195 from 241, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
When dividing 460 by 65, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 4703.7
Deduct 455 from 460 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.

Going ahead to step 8:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 4703.7
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.

Advancing to step 9:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 4703.707
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.

Step 10:
When dividing 450 by 65, we get 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 4703.7076
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.

Let's proceed to step 11:
65 goes into 600 9 times with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 4703.70769
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.

Moving on to step 12:
150 divided by 65 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 4703.707692
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.

On to step 13:
65 goes into 200 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 4703.7076923
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.

Going ahead to 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: 4703.7076923
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.

After the division, we end up with 4703.7076923 and a remainder of 5e-08.