We're dividing 333971 by 65 
We want to divide 333971 by 65.

On to step 1:
3 divided by 65 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 65

Advancing to step 2:
If we divide 33 by 65, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 65

Step 3:
The number 65 fits into 333 5 times, leaving a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 325 away from 333, we end up with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 65

Advancing to step 4:
When dividing 89 by 65, we get 1 with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 65 from 89 leaves us with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 65

Step 5:
247 divided by 65 is 3 with a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 513.0
The remainder is 52 after subtracting 195 from 247.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 65

On to step 6:
When dividing 521 by 65, we get 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 5138.0
If we take 520 away from 521, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 65, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5138.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
65 can be fit into 100 1 times, resulting in a remainder of 35.
The next digit of our result is 1. 
Result so far: 5138.01
If we subtract 65 from 100, we get 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 9:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5138.015
Subtract 325 from 350 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.

Advancing to step 10:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 5138.0153
If we subtract 195 from 250, we get 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:
When dividing 550 by 65, we get 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5138.01538
If we subtract 520 from 550, 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.

On to step 12:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 5138.015384
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.

Step 13:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 5138.0153846
Subtract 390 from 400 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.

Advancing to step 14:
If we divide 100 by 65, we get 1 and a remainder of 35.
The next digit of our result is 1. 
Result so far: 5138.01538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 5138.01538461 with a balance of 3.5e-08.