Let's divide 513397 by 35
We want to divide 513397 by 35.

On to step 1:
35 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 35

Advancing to step 2:
51 divided by 35 is 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 35 from 51 and we're left with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 35

Moving on to step 3:
35 can be fit into 163 4 times, resulting in a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 23 after subtracting 140 from 163.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 35

Moving on to step 4:
When dividing 233 by 35, we get 6 with a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 146.0
If we subtract 210 from 233, we get 23.
Bring next digit (9) of the dividend behind the 23 and repeat the process: 239 / 35

Step 5:
239 divided by 35 is 6 with a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 1466.0
The remainder is 29 after subtracting 210 from 239.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 35

Advancing to step 6:
If we divide 297 by 35, we get 8 and a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 14668.0
Subtract 280 from 297 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
35 can be fit into 170 4 times, resulting in a remainder of 30.
The next digit of our result is 4. 
Result so far: 14668.4
If we subtract 140 from 170, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 14668.48
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
When dividing 200 by 35, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 14668.485
If we take 175 away from 200, we end up 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.

Moving on to step 10:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 14668.4857
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.

Let's proceed to step 11:
35 goes into 50 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 14668.48571
If we subtract 35 from 50, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
150 divided by 35 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 14668.485714
The remainder is 10 after subtracting 140 from 150.
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 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 14668.4857142
If we take 70 away from 100, we end up 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 14:
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: 14668.48571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 14668.48571428 with a remaining 2e-08.