We look at the division of 803719 by 45 
Let's see how many times 45 fits into 803719.

Going ahead to step 1:
45 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 45

Let's proceed to step 2:
45 goes into 80 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 45 from 80 leaves us with 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 45

Let's proceed to step 3:
If we divide 353 by 45, we get 7 and a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 315 from 353 to get 38.
Include the next digit (7) from the dividend after 38, then repeat: 387 / 45

Let's proceed to step 4:
45 goes into 387 8 times with a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
If we take 360 away from 387, we end up with 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 45

Going ahead to step 5:
When dividing 271 by 45, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 1786.0
If we take 270 away from 271, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 45

Moving on to step 6:
If we divide 19 by 45, we get 0 and a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 17860.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
190 divided by 45 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 17860.4
If we subtract 180 from 190, 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.

Moving on to step 8:
100 divided by 45 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 17860.42
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.

Moving on to step 9:
45 goes into 100 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 17860.422
Subtract 90 from 100 to 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.

After the division, we end up with 17860.422 and a remainder of 0.001.