512361 ÷ 35 
We want to figure out the number of times 512361 can be divided by 35.

Let's proceed to step 1:
5 divided by 35 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 35

Let's proceed 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
Subtracting 35 from 51 leaves us with 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 35

Step 3:
If we divide 162 by 35, we get 4 and a remainder of 22.
The next digit of our result is 4. 
Result so far: 14.0
Deduct 140 from 162 and we're left with 22.
Include the next digit (3) from the dividend after 22, then repeat: 223 / 35

Advancing to step 4:
The number 35 fits into 223 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 146.0
Subtracting 210 from 223 leaves us with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 35

Advancing to step 5:
35 can be fit into 136 3 times, resulting in a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 1463.0
Deduct 105 from 136 and we're left with 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 35

Moving on to step 6:
If we divide 311 by 35, we get 8 and a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 14638.0
Subtract 280 from 311 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
35 can be fit into 310 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 14638.8
Deduct 280 from 310 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.

Going ahead to step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 14638.88
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.

The quotient of the division is 14638.88, and the remainder is 0.02.