44931 ÷ 65 
Our goal is to divide 44931 by 65.

Let's proceed to step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 65

On to step 2:
When dividing 44 by 65, we get 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Grab the next digit (9) from the dividend, add it to 44, then carry on: 449 / 65

Going ahead to step 3:
If we divide 449 by 65, we get 6 and a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 390 away from 449, we end up with 59.
Take the next digit (3) from the dividend and append it to 59, then repeat: 593 / 65

Going ahead to step 4:
65 goes into 593 9 times with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we subtract 585 from 593, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 65

Step 5:
If we divide 81 by 65, we get 1 and a remainder of 16.
The next digit of our result is 1. 
Result so far: 691.0
If we subtract 65 from 81, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
When dividing 160 by 65, we get 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 691.2
Subtract 130 from 160 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.

On to step 7:
If we divide 300 by 65, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 691.24
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 691.246
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.

On to step 9:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 691.2461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 691.24615
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.

Let's proceed to step 11:
65 goes into 250 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 691.246153
If we take 195 away from 250, 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.

Advancing to step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 691.2461538
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.

Let's proceed to step 13:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 691.24615384
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.

In conclusion, the division gives 691.24615384 with a balance of 4e-08.