We look at the division of 35026874 by 3 
We want to divide 35026874 by 3.

Advancing to step 1:
If we divide 3 by 3, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 0 after subtracting 3 from 3.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Step 2:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 3 from 5 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Moving on to step 3:
3 goes into 20 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 116.0
The remainder is 2 after subtracting 18 from 20.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Moving on to step 4:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 1167.0
Subtract 21 from 22 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Let's proceed to step 5:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 11675.0
If we take 15 away from 16, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 6:
3 can be fit into 18 6 times, resulting in a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 116756.0
Subtracting 18 from 18 leaves us with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

Let's proceed to step 7:
3 can be fit into 7 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 1167562.0
If we subtract 6 from 7, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Moving on to step 8:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 11675624.0
Subtracting 12 from 14 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
3 goes into 20 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 11675624.6
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 11675624.66
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 11675624.66, and the remainder is 0.002.