We look at the division of 461959 by 65 
Let's see how many times 65 fits into 461959.

Moving on to step 1:
65 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 65

Advancing to step 2:
The number 65 fits into 46 0 times, leaving a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 46, we get 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 65

Let's proceed to step 3:
If we divide 461 by 65, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 6 after subtracting 455 from 461.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 65

Advancing to step 4:
65 can be fit into 69 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
If we take 65 away from 69, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 65

Step 5:
When dividing 45 by 65, we get 0 with a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 710.0
Subtracting 0 from 45 leaves us with 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 65

Going ahead to step 6:
The number 65 fits into 459 7 times, leaving a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7107.0
Subtracting 455 from 459 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
65 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 7107.0
Deduct 0 from 40 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.

Moving on to step 8:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7107.06
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
65 goes into 100 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 7107.061
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.

Advancing to step 10:
65 goes into 350 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7107.0615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 7107.06153
Deduct 195 from 250 and we're left 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.

Let's proceed to step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 7107.061538
Subtract 520 from 550 to get 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 13:
When dividing 300 by 65, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7107.0615384
The remainder is 40 after subtracting 260 from 300.
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 14:
65 goes into 400 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 7107.06153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 7107.06153846 with a balance of 1e-08.