Let's divide 343409 by 65
Our goal is to divide 343409 by 65.

Advancing to step 1:
The number 65 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 65

Moving on to step 2:
34 divided by 65 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 65

Step 3:
The number 65 fits into 343 5 times, leaving a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 325 from 343 leaves us with 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 65

Going ahead to step 4:
65 goes into 184 2 times with a remainder of 54.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Deduct 130 from 184 and we're left with 54.
Fetch the next digit (0) from the dividend, attach it to 54 and continue: 540 / 65

Moving on to step 5:
When dividing 540 by 65, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 528.0
Subtract 520 from 540 to get 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 65

On to step 6:
209 divided by 65 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 5283.0
The remainder is 14 after subtracting 195 from 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
65 can be fit into 140 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 5283.2
Subtracting 130 from 140 leaves us 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 8:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 5283.21
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.

On to step 9:
If we divide 350 by 65, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 5283.215
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 10:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 5283.2153
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 11:
If we divide 550 by 65, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 5283.21538
Deduct 520 from 550 and we're left 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 12:
When dividing 300 by 65, we get 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5283.215384
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.

Moving on to step 13:
When dividing 400 by 65, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 5283.2153846
If we take 390 away from 400, we end up 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.

Advancing to step 14:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 5283.21538461
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.

Our division results in 5283.21538461 with a remaining 3.5e-08.