We're dividing 19425 by 3 
We're looking to find how many times 3 goes into 19425.

Moving on to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Let's proceed to step 2:
If we divide 19 by 3, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 18 from 19 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 3

Going ahead to step 3:
If we divide 14 by 3, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtracting 12 from 14 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Advancing to step 4:
When dividing 22 by 3, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 647.0
Subtracting 21 from 22 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 3

On to step 5:
15 divided by 3 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 6475.0
Subtract 15 from 15 to 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.

Let's proceed to step 6:
0 divided by 3 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6475.0
The remainder is 0 after subtracting 0 from 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 7:
0 divided by 3 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6475.0
Deduct 0 from 0 and we're left 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.

The final outcome is 6475.0, with a leftover of 0.0.