We look at the division of 498603 by 65 
Our goal is to divide 498603 by 65.

Step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 65

Going ahead to step 2:
If we divide 49 by 65, we get 0 and a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 49, we get 49.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 65

Moving on to step 3:
498 divided by 65 is 7 with a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 455 away from 498, we end up with 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 65

Let's proceed to step 4:
When dividing 436 by 65, we get 6 with a remainder of 46.
The next digit of our result is 6. 
Result so far: 76.0
Subtracting 390 from 436 leaves us with 46.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 65

Advancing to step 5:
65 can be fit into 460 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 767.0
Deduct 455 from 460 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 65

Let's proceed to step 6:
The number 65 fits into 53 0 times, leaving a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 7670.0
Subtract 0 from 53 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 7:
65 can be fit into 530 8 times, resulting in a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 7670.8
If we take 520 away from 530, 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.

On to step 8:
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: 7670.81
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.

Moving on to step 9:
If we divide 350 by 65, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7670.815
Subtracting 325 from 350 leaves us 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.

Advancing to step 10:
65 goes into 250 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 7670.8153
Subtract 195 from 250 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.

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: 7670.81538
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.

Moving on to step 12:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7670.815384
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.

Going ahead to step 13:
65 goes into 400 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7670.8153846
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.

Let's proceed to step 14:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 7670.81538461
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.

The final result is 7670.81538461 with a remainder of 3.5e-08.