820437 ÷ 45 
Let's see how many times 45 fits into 820437.

Let's proceed 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
Deduct 0 from 8 and we're left with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 45

Going ahead to step 2:
If we divide 82 by 45, we get 1 and a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 82 leaves us with 37.
Grab the next digit (0) from the dividend, add it to 37, then carry on: 370 / 45

Going ahead to step 3:
If we divide 370 by 45, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 18.0
The remainder is 10 after subtracting 360 from 370.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 45

Going ahead to step 4:
When dividing 104 by 45, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 182.0
Subtract 90 from 104 to get 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 45

On to step 5:
The number 45 fits into 143 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 1823.0
Subtracting 135 from 143 leaves us with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 45

Let's proceed to step 6:
45 can be fit into 87 1 times, resulting in a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 18231.0
If we subtract 45 from 87, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
420 divided by 45 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 18231.9
If we take 405 away from 420, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
150 divided by 45 is 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 18231.93
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
150 divided by 45 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 18231.933
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 18231.933, and the remainder is 0.0015.