We're dividing 766174 by 18 
We're looking to find how many times 18 goes into 766174.

Step 1:
7 divided by 18 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 18

Advancing to step 2:
18 can be fit into 76 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 72 away from 76, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 18

Let's proceed to step 3:
If we divide 46 by 18, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 36 from 46 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 18

Step 4:
If we divide 101 by 18, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 425.0
Deduct 90 from 101 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 18

Step 5:
18 can be fit into 117 6 times, resulting in a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 4256.0
The remainder is 9 after subtracting 108 from 117.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 18

On to step 6:
18 can be fit into 94 5 times, resulting in a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 42565.0
Subtracting 90 from 94 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 18, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 42565.2
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
When dividing 40 by 18, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 42565.22
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.

In conclusion, the division gives 42565.22 with a balance of 0.004.