16169 ÷ 45 
Our goal is to divide 16169 by 45.

Advancing 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
If we subtract 0 from 1, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 45

On to step 2:
45 goes into 16 0 times with a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 45

Moving on to step 3:
If we divide 161 by 45, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 135 from 161, we get 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 45

Moving on to step 4:
When dividing 266 by 45, we get 5 with a remainder of 41.
The next digit of our result is 5. 
Result so far: 35.0
The remainder is 41 after subtracting 225 from 266.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 45

Step 5:
45 can be fit into 419 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 359.0
If we take 405 away from 419, we end up 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 6:
140 divided by 45 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 359.3
Subtracting 135 from 140 leaves us 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.

Step 7:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 359.31
Subtract 45 from 50 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.

Moving on to step 8:
45 goes into 50 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 359.311
If we subtract 45 from 50, we 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.

The final outcome is 359.311, with a leftover of 0.0005.