We look at the division of 42568125 by 3 
Our goal is to divide 42568125 by 3.

Let's proceed to step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 3 from 4.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Step 2:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 12 from 12 to get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

Going ahead to step 3:
When dividing 5 by 3, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 141.0
Deduct 3 from 5 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Moving on to step 4:
When dividing 26 by 3, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1418.0
If we subtract 24 from 26, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Let's proceed to step 5:
3 goes into 28 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 14189.0
If we take 27 away from 28, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Let's proceed to step 6:
3 goes into 11 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 141893.0
If we subtract 9 from 11, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Let's proceed to step 7:
When dividing 22 by 3, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1418937.0
Subtracting 21 from 22 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

On to step 8:
The number 3 fits into 15 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 14189375.0
The remainder is 0 after subtracting 15 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 14189375.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 14189375.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 14189375.0 with a balance of 0.0.