Let's divide 626298 by 65
Our goal is to divide 626298 by 65.

Going ahead to step 1:
6 divided by 65 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 65

Step 2:
62 divided by 65 is 0 with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 62, we end up with 62.
Fetch the next digit (6) from the dividend, attach it to 62 and continue: 626 / 65

On to step 3:
When dividing 626 by 65, we get 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 9.0
If we take 585 away from 626, we end up with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 65

On to step 4:
If we divide 412 by 65, we get 6 and a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 96.0
If we subtract 390 from 412, we get 22.
Bring next digit (9) of the dividend behind the 22 and repeat the process: 229 / 65

Going ahead to step 5:
If we divide 229 by 65, we get 3 and a remainder of 34.
The next digit of our result is 3. 
Result so far: 963.0
Subtract 195 from 229 to get 34.
Append the next digit (8) from the dividend to 34 and continue with: 348 / 65

On to step 6:
When dividing 348 by 65, we get 5 with a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 9635.0
If we subtract 325 from 348, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
When dividing 230 by 65, we get 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 9635.3
Deduct 195 from 230 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.

Advancing to step 8:
65 goes into 350 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9635.35
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.

Advancing to step 9:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 9635.353
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 10:
550 divided by 65 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 9635.3538
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.

Step 11:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 9635.35384
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.

Going ahead to step 12:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 9635.353846
If we subtract 390 from 400, we 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 13:
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: 9635.3538461
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.

On to step 14:
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: 9635.35384615
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.

Our division results in 9635.35384615 with a remaining 2.5e-08.