15465 divided by 45 
We want to divide 15465 by 45.

Moving on to step 1:
1 divided by 45 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 45

Going ahead to step 2:
The number 45 fits into 15 0 times, leaving a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 45

Going ahead to step 3:
154 divided by 45 is 3 with a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 135 from 154, we get 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 45

Let's proceed to step 4:
45 can be fit into 196 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Deduct 180 from 196 and we're left with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 45

Moving on to step 5:
45 goes into 165 3 times with a remainder of 30.
The next digit of our result is 3. 
Result so far: 343.0
If we subtract 135 from 165, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 6:
45 goes into 300 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 343.6
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 343.66
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 343.66 with a balance of 0.03.