43387 ÷ 45 
We want to figure out the number of times 43387 can be divided by 45.

On to step 1:
The number 45 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 45

On to step 2:
45 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 45

Moving on to step 3:
45 can be fit into 433 9 times, resulting in a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 405 away from 433, we end up with 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 45

Going ahead to step 4:
45 can be fit into 288 6 times, resulting in a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
If we subtract 270 from 288, we get 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 45

Going ahead to step 5:
If we divide 187 by 45, we get 4 and a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 964.0
If we take 180 away from 187, we end up 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.

Moving on to step 6:
The number 45 fits into 70 1 times, leaving a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 964.1
Deduct 45 from 70 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 964.15
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 964.155
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 964.155, with a leftover of 0.0025.