We look at the division of 642575 by 3 
We want to figure out the number of times 642575 can be divided by 3.

Advancing to step 1:
If we divide 6 by 3, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Moving on to step 2:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 3 away from 4, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Advancing to step 3:
3 goes into 12 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 214.0
Subtracting 12 from 12 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Let's proceed to step 4:
When dividing 5 by 3, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 2141.0
Subtract 3 from 5 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 3

Step 5:
When dividing 27 by 3, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 21419.0
Deduct 27 from 27 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Let's proceed to step 6:
5 divided by 3 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 214191.0
The remainder is 2 after subtracting 3 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
20 divided by 3 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 214191.6
If we take 18 away from 20, we end up 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.

Going ahead to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 214191.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 214191.66 with a balance of 0.002.