Let's divide 172910 by 6
We want to figure out the number of times 172910 can be divided by 6.

Moving on to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Going ahead to step 2:
6 goes into 17 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 12 from 17 to get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 6

Advancing to step 3:
6 goes into 52 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we subtract 48 from 52, we get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 6

On to step 4:
If we divide 49 by 6, we get 8 and a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 288.0
Subtract 48 from 49 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 6

Going ahead to step 5:
The number 6 fits into 11 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 2881.0
The remainder is 5 after subtracting 6 from 11.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Let's proceed to step 6:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 28818.0
Subtracting 48 from 50 leaves us 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.

On to step 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 28818.3
Subtracting 18 from 20 leaves us 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.

Going ahead to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 28818.33
If we take 18 away from 20, 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.

The quotient of the division is 28818.33, and the remainder is 0.002.