We're dividing 106303 by 45 
Our goal is to divide 106303 by 45.

Advancing to step 1:
45 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 45

On to step 2:
If we divide 10 by 45, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 45

Moving on to step 3:
When dividing 106 by 45, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 90 away from 106, we end up with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 45

Let's proceed to step 4:
45 goes into 163 3 times with a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 23.0
The remainder is 28 after subtracting 135 from 163.
Bring next digit (0) of the dividend behind the 28 and repeat the process: 280 / 45

Step 5:
If we divide 280 by 45, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 236.0
Subtract 270 from 280 to get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 45

Moving on to step 6:
45 goes into 103 2 times with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2362.0
If we take 90 away from 103, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
The number 45 fits into 130 2 times, leaving a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 2362.2
If we subtract 90 from 130, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 2362.28
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
400 divided by 45 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 2362.288
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 2362.288, with a leftover of 0.004.