541734 divided by 65 
We want to figure out the number of times 541734 can be divided by 65.

On to step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 65

Moving on to step 2:
The number 65 fits into 54 0 times, leaving a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 54 after subtracting 0 from 54.
Take the next digit (1) from the dividend and append it to 54, then repeat: 541 / 65

Advancing to step 3:
65 goes into 541 8 times with a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 520 from 541 and we're left with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 65

Advancing to step 4:
When dividing 217 by 65, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 83.0
The remainder is 22 after subtracting 195 from 217.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 65

Advancing to step 5:
If we divide 223 by 65, we get 3 and a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 833.0
The remainder is 28 after subtracting 195 from 223.
Bring next digit (4) of the dividend behind the 28 and repeat the process: 284 / 65

Let's proceed to step 6:
When dividing 284 by 65, we get 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 8334.0
The remainder is 24 after subtracting 260 from 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
65 goes into 240 3 times with a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 8334.3
Deduct 195 from 240 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 8334.36
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
600 divided by 65 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 8334.369
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
65 goes into 150 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 8334.3692
Subtracting 130 from 150 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.

Let's proceed to step 11:
200 divided by 65 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 8334.36923
If we take 195 away from 200, we end up 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.

Moving on to step 12:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 8334.36923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
65 goes into 500 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 8334.3692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 14:
450 divided by 65 is 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 8334.36923076
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 8334.36923076 and a remainder of 6e-08.