Let's divide 17830 by 6
We're looking to find how many times 6 goes into 17830.

Moving on to step 1:
6 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 6

Moving on to step 2:
If we divide 17 by 6, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 12 away from 17, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 6

Step 3:
When dividing 58 by 6, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we take 54 away from 58, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Moving on to step 4:
43 divided by 6 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 297.0
Subtract 42 from 43 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Advancing to step 5:
6 can be fit into 10 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 2971.0
If we subtract 6 from 10, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
If we divide 40 by 6, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2971.6
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2971.66
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 2971.66, and the remainder is 0.004.