178214 ÷ 45 
We're looking to find how many times 45 goes into 178214.

On to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 45

Advancing to step 2:
17 divided by 45 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 45

Let's proceed to step 3:
When dividing 178 by 45, we get 3 with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 135 away from 178, we end up with 43.
Grab the next digit (2) from the dividend, add it to 43, then carry on: 432 / 45

Going ahead to step 4:
If we divide 432 by 45, we get 9 and a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 39.0
The remainder is 27 after subtracting 405 from 432.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 45

Advancing to step 5:
45 can be fit into 271 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 396.0
The remainder is 1 after subtracting 270 from 271.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 45

Advancing to step 6:
The number 45 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 3960.0
Deduct 0 from 14 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
If we divide 140 by 45, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3960.3
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 45 is 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 3960.31
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
50 divided by 45 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 3960.311
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 3960.311 with a balance of 0.0005.