511430 ÷ 35 
We want to figure out the number of times 511430 can be divided by 35.

Going ahead to step 1:
35 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 35

Moving on to step 2:
35 goes into 51 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 35 from 51 leaves us with 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 35

Advancing to step 3:
When dividing 161 by 35, we get 4 with a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 140 away from 161, we end up with 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 35

Going ahead to step 4:
The number 35 fits into 214 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 146.0
The remainder is 4 after subtracting 210 from 214.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 35

On to step 5:
When dividing 43 by 35, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1461.0
If we take 35 away from 43, we end up with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 35

Moving on to step 6:
35 goes into 80 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 14612.0
If we take 70 away from 80, we end up 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 7:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 14612.2
Subtract 70 from 100 to 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.

On to step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 14612.28
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.

Advancing to step 9:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 14612.285
Deduct 175 from 200 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.

Step 10:
If we divide 250 by 35, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 14612.2857
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
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: 14612.28571
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.

Let's proceed to step 12:
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: 14612.285714
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.

On to step 13:
When dividing 100 by 35, we get 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 14612.2857142
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.

Going ahead to step 14:
300 divided by 35 is 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 14612.28571428
If we subtract 280 from 300, 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.

In conclusion, the division gives 14612.28571428 with a balance of 2e-08.