We look at the division of 783749 by 45 
We're looking to find how many times 45 goes into 783749.

On to step 1:
45 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 45

Going ahead to step 2:
45 can be fit into 78 1 times, resulting in a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 78, we get 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 45

On to step 3:
When dividing 333 by 45, we get 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
The remainder is 18 after subtracting 315 from 333.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 45

Advancing to step 4:
187 divided by 45 is 4 with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 174.0
If we take 180 away from 187, we end up with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 45

Step 5:
45 can be fit into 74 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1741.0
Subtract 45 from 74 to get 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 45

Going ahead to step 6:
45 goes into 299 6 times with a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 17416.0
If we take 270 away from 299, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
When dividing 290 by 45, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 17416.6
Subtracting 270 from 290 leaves us 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.

On to step 8:
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: 17416.64
If we subtract 180 from 200, we 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.

Step 9:
200 divided by 45 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 17416.644
Subtract 180 from 200 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.

The quotient of the division is 17416.644, and the remainder is 0.002.