674821 ÷ 3 
We want to figure out the number of times 674821 can be divided by 3.

Moving on to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Step 2:
3 goes into 7 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Deduct 6 from 7 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Let's proceed to step 3:
14 divided by 3 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 224.0
Subtract 12 from 14 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Moving on to step 4:
If we divide 28 by 3, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 2249.0
Subtracting 27 from 28 leaves us with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Let's proceed to step 5:
12 divided by 3 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 22494.0
Deduct 12 from 12 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

Let's proceed to step 6:
If we divide 1 by 3, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 224940.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 224940.3
If we take 9 away from 10, 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.

Going ahead to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 224940.33
If we subtract 9 from 10, we get 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 224940.33 and a remainder of 0.001.