174105 divided by 3 
We're looking to find how many times 3 goes into 174105.

Moving on to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

Going ahead to step 2:
17 divided by 3 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 15 away from 17, we end up with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 3

Advancing to step 3:
The number 3 fits into 24 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 58.0
The remainder is 0 after subtracting 24 from 24.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Let's proceed to step 4:
3 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 580.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

On to step 5:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 5803.0
If we subtract 9 from 10, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 3

Advancing to step 6:
3 goes into 15 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 58035.0
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.

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: 58035.0
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.

On to step 8:
The number 3 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 58035.0
Subtract 0 from 0 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.

After the division, we end up with 58035.0 and a remainder of 0.0.