We're dividing 344165 by 65 
We want to figure out the number of times 344165 can be divided by 65.

Moving on to step 1:
3 divided by 65 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 65

On to step 2:
The number 65 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 65

On to step 3:
If we divide 344 by 65, we get 5 and a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 325 from 344, we get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 65

Moving on to step 4:
191 divided by 65 is 2 with a remainder of 61.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtracting 130 from 191 leaves us with 61.
Bring next digit (6) of the dividend behind the 61 and repeat the process: 616 / 65

Going ahead to step 5:
616 divided by 65 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 529.0
Subtract 585 from 616 to get 31.
Include the next digit (5) from the dividend after 31, then repeat: 315 / 65

Step 6:
If we divide 315 by 65, we get 4 and a remainder of 55.
The next digit of our result is 4. 
Result so far: 5294.0
Subtracting 260 from 315 leaves us 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.

Going ahead to step 7:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 5294.8
If we take 520 away from 550, 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.

Going ahead to step 8:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5294.84
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.

Moving on to step 9:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 5294.846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 65, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 5294.8461
Subtracting 65 from 100 leaves us 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.

Going ahead to step 11:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 5294.84615
Deduct 325 from 350 and we're left 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.

Step 12:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 5294.846153
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 13:
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: 5294.8461538
Subtracting 520 from 550 leaves us 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.

Let's proceed to step 14:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5294.84615384
If we take 260 away from 300, we end up 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.

The quotient of the division is 5294.84615384, and the remainder is 4e-08.