We look at the division of 186433 by 45 
We want to divide 186433 by 45.

On to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 45

Let's proceed to step 2:
If we divide 18 by 45, we get 0 and a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 45

Step 3:
45 goes into 186 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 180 from 186, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 45

On to step 4:
45 goes into 64 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtract 45 from 64 to get 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 45

Step 5:
When dividing 193 by 45, we get 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 414.0
If we take 180 away from 193, we end up with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 45

Advancing to step 6:
The number 45 fits into 133 2 times, leaving a remainder of 43.
The number 2 becomes the next digit in our result. 
Result so far: 4142.0
If we subtract 90 from 133, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
45 can be fit into 430 9 times, resulting in a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 4142.9
Subtract 405 from 430 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.

On to step 8:
250 divided by 45 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 4142.95
Deduct 225 from 250 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.

Moving on to step 9:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 4142.955
Subtracting 225 from 250 leaves us 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 quotient of the division is 4142.955, and the remainder is 0.0025.