We look at the division of 174408 by 3 
We want to figure out the number of times 174408 can be divided by 3.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Going ahead to step 2:
If we divide 17 by 3, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 15 from 17 leaves us with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

On to step 3:
If we divide 24 by 3, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Deduct 24 from 24 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Going ahead to step 4:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 581.0
The remainder is 1 after subtracting 3 from 4.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Moving on to step 5:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 5813.0
If we take 9 away from 10, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Moving on to step 6:
3 can be fit into 18 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 58136.0
Subtract 18 from 18 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.

Moving on to step 7:
When dividing 0 by 3, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 58136.0
If we take 0 away from 0, we end up 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.

Going ahead to step 8:
If we divide 0 by 3, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 58136.0
If we take 0 away from 0, we end up 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 result is 58136.0 with a remainder of 0.0.