We're dividing 108037 by 45 
Let's see how many times 45 fits into 108037.

On to step 1:
1 divided by 45 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 45

On to step 2:
If we divide 10 by 45, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 45

Let's proceed to step 3:
If we divide 108 by 45, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 90 from 108 and we're left with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 45

On to step 4:
180 divided by 45 is 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 24.0
If we take 180 away from 180, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 45

Advancing to step 5:
When dividing 3 by 45, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 240.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 45

Step 6:
45 can be fit into 37 0 times, resulting in a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 2400.0
Subtract 0 from 37 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
When dividing 370 by 45, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 2400.8
The remainder is 10 after subtracting 360 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 45 is 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 2400.82
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
45 goes into 100 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2400.822
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 2400.822, with a leftover of 0.001.