502678 divided by 35 
Our goal is to divide 502678 by 35.

Going ahead to step 1:
When dividing 5 by 35, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 35

Step 2:
50 divided by 35 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 35 from 50.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 35

Advancing to step 3:
The number 35 fits into 152 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtracting 140 from 152 leaves us with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 35

Step 4:
If we divide 126 by 35, we get 3 and a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
The remainder is 21 after subtracting 105 from 126.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 35

Moving on to step 5:
35 can be fit into 217 6 times, resulting in a remainder of 7.
The next digit of our result is 6. 
Result so far: 1436.0
Subtracting 210 from 217 leaves us with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 35

Moving on to step 6:
If we divide 78 by 35, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 14362.0
Subtracting 70 from 78 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 35 fits into 80 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 14362.2
The remainder is 10 after subtracting 70 from 80.
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 8:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 14362.22
If we subtract 70 from 100, 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.

After the division, we end up with 14362.22 and a remainder of 0.03.