Let's divide 174213 by 27
We're looking to find how many times 27 goes into 174213.

Moving on to step 1:
27 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 27

Step 2:
When dividing 17 by 27, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 27

On to step 3:
If we divide 174 by 27, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 162 from 174, we get 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 27

On to step 4:
When dividing 122 by 27, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 14 after subtracting 108 from 122.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 27

Let's proceed to step 5:
If we divide 141 by 27, we get 5 and a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 645.0
Subtracting 135 from 141 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 27

Let's proceed to step 6:
If we divide 63 by 27, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 6452.0
Deduct 54 from 63 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
The number 27 fits into 90 3 times, leaving a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 6452.3
Subtract 81 from 90 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
When dividing 90 by 27, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 6452.33
The remainder is 9 after subtracting 81 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 6452.33, and the remainder is 0.009.