We look at the division of 178261 by 18 
We want to divide 178261 by 18.

On to step 1:
18 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 18

On to step 2:
18 goes into 17 0 times with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 18

Going ahead to step 3:
18 can be fit into 178 9 times, resulting in a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 162 from 178, we get 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 18

Advancing to step 4:
162 divided by 18 is 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 99.0
The remainder is 0 after subtracting 162 from 162.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 18

Step 5:
18 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 990.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 18

Going ahead to step 6:
18 goes into 61 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 9903.0
Deduct 54 from 61 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
18 goes into 70 3 times with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 9903.3
Deduct 54 from 70 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
When dividing 160 by 18, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 9903.38
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
When dividing 160 by 18, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 9903.388
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 9903.388 with a remainder of 0.0016.