37380 ÷ 45 
Our goal is to divide 37380 by 45.

Advancing to step 1:
45 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 45

Let's proceed to step 2:
45 can be fit into 37 0 times, resulting in a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Take the next digit (3) from the dividend and append it to 37, then repeat: 373 / 45

Going ahead to step 3:
373 divided by 45 is 8 with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 360 from 373 and we're left with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 45

Going ahead to step 4:
When dividing 138 by 45, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 83.0
The remainder is 3 after subtracting 135 from 138.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 45

Advancing to step 5:
45 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 830.0
Subtracting 0 from 30 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.

Going ahead to step 6:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 830.6
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 7:
300 divided by 45 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 830.66
Subtracting 270 from 300 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.

In conclusion, the division gives 830.66 with a balance of 0.03.