44865 ÷ 35 
Our goal is to divide 44865 by 35.

Step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 35

Moving on to step 2:
If we divide 44 by 35, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 44, we get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 35

Moving on to step 3:
35 can be fit into 98 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 70 from 98, we get 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 35

Let's proceed to step 4:
35 can be fit into 286 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
The remainder is 6 after subtracting 280 from 286.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 35

Advancing to step 5:
65 divided by 35 is 1 with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1281.0
If we take 35 away from 65, we end up with 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 6:
When dividing 300 by 35, we get 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 1281.8
Deduct 280 from 300 and we're left 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.

Step 7:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1281.85
If we take 175 away from 200, 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.

Going ahead to step 8:
When dividing 250 by 35, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1281.857
Subtracting 245 from 250 leaves us 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 9:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1281.8571
If we subtract 35 from 50, we get 15.
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 10:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 1281.85714
Subtract 140 from 150 to 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.

Going ahead to step 11:
35 goes into 100 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 1281.857142
If we subtract 70 from 100, we 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.

Step 12:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1281.8571428
Subtracting 280 from 300 leaves us 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.

Advancing to step 13:
35 can be fit into 200 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1281.85714285
Subtract 175 from 200 to 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.

The quotient of the division is 1281.85714285, and the remainder is 2.5e-08.