We're dividing 498047 by 65 
We want to figure out the number of times 498047 can be divided by 65.

Step 1:
4 divided by 65 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 65

On to step 2:
The number 65 fits into 49 0 times, leaving a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 49 after subtracting 0 from 49.
Include the next digit (8) from the dividend after 49, then repeat: 498 / 65

On to step 3:
65 goes into 498 7 times with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 455 from 498 and we're left with 43.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 65

Going ahead to step 4:
When dividing 430 by 65, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 40 after subtracting 390 from 430.
Take the next digit (4) from the dividend and append it to 40, then repeat: 404 / 65

On to step 5:
If we divide 404 by 65, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 766.0
Subtracting 390 from 404 leaves us with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 65

Moving on to step 6:
If we divide 147 by 65, we get 2 and a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 7662.0
If we take 130 away from 147, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
170 divided by 65 is 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 7662.2
If we subtract 130 from 170, we 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 8:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 7662.26
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.

Going ahead to step 9:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 7662.261
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.

Step 10:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7662.2615
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 11:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 7662.26153
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.

Moving on to step 12:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 7662.261538
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 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 7662.2615384
Subtracting 260 from 300 leaves us 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 14:
65 goes into 400 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 7662.26153846
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.

The quotient of the division is 7662.26153846, and the remainder is 1e-08.