509319 ÷ 35 
We want to figure out the number of times 509319 can be divided by 35.

Let's proceed to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 35

Step 2:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 15 after subtracting 35 from 50.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 35

Moving on to step 3:
If we divide 159 by 35, we get 4 and a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 140 away from 159, we end up with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 35

Going ahead to step 4:
When dividing 193 by 35, we get 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 145.0
The remainder is 18 after subtracting 175 from 193.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 35

Moving on to step 5:
181 divided by 35 is 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 1455.0
If we take 175 away from 181, we end up with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 35

Going ahead to step 6:
35 goes into 69 1 times with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 14551.0
If we take 35 away from 69, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
340 divided by 35 is 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 14551.9
Deduct 315 from 340 and we're left 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.

Going ahead to step 8:
250 divided by 35 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 14551.97
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.

On to 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: 14551.971
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.

Let's proceed to step 10:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 14551.9714
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.

Advancing to step 11:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 14551.97142
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.

Advancing to step 12:
35 goes into 300 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 14551.971428
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.

Advancing to step 13:
200 divided by 35 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 14551.9714285
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.

On to step 14:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 14551.97142857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 14551.97142857 with a remaining 5e-09.