Let's divide 65298 by 35
We want to figure out the number of times 65298 can be divided by 35.

On to step 1:
The number 35 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 35

Step 2:
When dividing 65 by 35, we get 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 35 from 65, we get 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 35

Step 3:
If we divide 302 by 35, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 280 from 302 leaves us with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 35

Going ahead to step 4:
The number 35 fits into 229 6 times, leaving a remainder of 19.
The next digit of our result is 6. 
Result so far: 186.0
Subtracting 210 from 229 leaves us with 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 35

Going ahead to step 5:
If we divide 198 by 35, we get 5 and a remainder of 23.
The next digit of our result is 5. 
Result so far: 1865.0
Subtracting 175 from 198 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 6:
The number 35 fits into 230 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1865.6
If we subtract 210 from 230, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1865.65
Subtract 175 from 200 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.

Moving on to step 8:
If we divide 250 by 35, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1865.657
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1865.6571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
When dividing 150 by 35, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 1865.65714
Deduct 140 from 150 and we're left 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.

Step 11:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 1865.657142
The remainder is 30 after subtracting 70 from 100.
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:
If we divide 300 by 35, we get 8 and a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1865.6571428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1865.65714285
Subtracting 175 from 200 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.

After the division, we end up with 1865.65714285 and a remainder of 2.5e-08.