We look at the division of 368744 by 45 
We're looking to find how many times 45 goes into 368744.

Going ahead to step 1:
45 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 45

Step 2:
45 can be fit into 36 0 times, resulting in a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Fetch the next digit (8) from the dividend, attach it to 36 and continue: 368 / 45

Going ahead to step 3:
If we divide 368 by 45, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 360 from 368 to get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 45

Advancing to step 4:
When dividing 87 by 45, we get 1 with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 81.0
Subtract 45 from 87 to get 42.
Include the next digit (4) from the dividend after 42, then repeat: 424 / 45

Going ahead to step 5:
If we divide 424 by 45, we get 9 and a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 819.0
If we subtract 405 from 424, we get 19.
Include the next digit (4) from the dividend after 19, then repeat: 194 / 45

Moving on to step 6:
194 divided by 45 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 8194.0
If we subtract 180 from 194, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 45 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 8194.3
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 45 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 8194.31
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 8194.311
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 8194.311 and a remainder of 0.0005.