177224 divided by 3 
We're looking to find how many times 3 goes into 177224.

Going ahead to step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

On to step 2:
3 can be fit into 17 5 times, resulting in a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 15 from 17 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 3

Step 3:
3 can be fit into 27 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
The remainder is 0 after subtracting 27 from 27.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 3

Step 4:
If we divide 2 by 3, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 590.0
Subtract 0 from 2 to get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Step 5:
The number 3 fits into 22 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 5907.0
If we subtract 21 from 22, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Let's proceed to step 6:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 59074.0
If we take 12 away from 14, 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.

Moving on to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 59074.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 59074.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 59074.66, and the remainder is 0.002.