186895 ÷ 45 
Let's see how many times 45 fits into 186895.

On to step 1:
1 divided by 45 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 45

Moving on to step 2:
45 can be fit into 18 0 times, resulting in a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 45

On to step 3:
45 can be fit into 186 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 180 from 186 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 45

Step 4:
45 goes into 68 1 times with a remainder of 23.
The next digit of our result is 1. 
Result so far: 41.0
The remainder is 23 after subtracting 45 from 68.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 45

Step 5:
45 goes into 239 5 times with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 415.0
If we take 225 away from 239, we end up with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 45

Going ahead to step 6:
145 divided by 45 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 4153.0
If we subtract 135 from 145, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 4153.2
Deduct 90 from 100 and we're left 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.

On to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 4153.22
If we subtract 90 from 100, we get 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 quotient of the division is 4153.22, and the remainder is 0.01.