18372 ÷ 45 
Let's see how many times 45 fits into 18372.

Advancing to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

Let's proceed to step 2:
45 goes into 18 0 times with a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 45

Going ahead to step 3:
45 goes into 183 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 180 away from 183, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 45

Let's proceed to step 4:
When dividing 37 by 45, we get 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 40.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 45

Going ahead to step 5:
45 can be fit into 372 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 408.0
Subtract 360 from 372 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 6:
45 can be fit into 120 2 times, resulting in a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 408.2
Subtracting 90 from 120 leaves us 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.

Moving on to step 7:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 408.26
If we take 270 away from 300, we end up 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.

Step 8:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 408.266
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.

The quotient of the division is 408.266, and the remainder is 0.003.