Let's divide 625693 by 3
We want to divide 625693 by 3.

Going ahead to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

On to step 2:
3 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

On to step 3:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 208.0
Deduct 24 from 25 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Advancing to step 4:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 2085.0
Subtract 15 from 16 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Let's proceed to step 5:
19 divided by 3 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 20856.0
The remainder is 1 after subtracting 18 from 19.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

On to step 6:
13 divided by 3 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 208564.0
If we take 12 away from 13, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 3 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 208564.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 208564.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 208564.33 and a remainder of 0.001.