Let's divide 814187 by 45
Our goal is to divide 814187 by 45.

Moving on to step 1:
When dividing 8 by 45, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 45

On to step 2:
If we divide 81 by 45, we get 1 and a remainder of 36.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 81 and we're left with 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 45

Advancing to step 3:
If we divide 364 by 45, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 360 from 364 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 45

Let's proceed to step 4:
45 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 180.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 45

Step 5:
The number 45 fits into 418 9 times, leaving a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 1809.0
Subtract 405 from 418 to get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 45

Going ahead to step 6:
If we divide 137 by 45, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 18093.0
If we subtract 135 from 137, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
The number 45 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 18093.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 18093.04
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 18093.044
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 18093.044, and the remainder is 0.002.