We look at the division of 338051 by 65 
We want to figure out the number of times 338051 can be divided by 65.

Advancing to step 1:
3 divided by 65 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 65

Moving on to step 2:
When dividing 33 by 65, we get 0 with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 65

Going ahead to step 3:
The number 65 fits into 338 5 times, leaving a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 325 from 338 to get 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 65

Advancing to step 4:
65 goes into 130 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtracting 130 from 130 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 65

Going ahead to step 5:
65 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 520.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 65

On to step 6:
The number 65 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 5200.0
If we take 0 away from 51, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
510 divided by 65 is 7 with a remainder of 55.
Write down 7 as next digit of the result. 
Result so far: 5200.7
Subtract 455 from 510 to 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.

Let's proceed to step 8:
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: 5200.78
The remainder is 30 after subtracting 520 from 550.
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 9:
If we divide 300 by 65, we get 4 and a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 5200.784
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.

Advancing to step 10:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 5200.7846
The remainder is 10 after subtracting 390 from 400.
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 11:
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: 5200.78461
If we take 65 away from 100, we end up 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.

Step 12:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5200.784615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 13:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 5200.7846153
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.

Let's proceed to step 14:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 5200.78461538
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.

The final result is 5200.78461538 with a remainder of 3e-08.