We divide 638345 by 45
We want to figure out the number of times 638345 can be divided by 45.

On to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 45

Moving on to step 2:
45 can be fit into 63 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 45 from 63 and we're left with 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 45

Step 3:
The number 45 fits into 188 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 180 from 188 and we're left with 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 45

Step 4:
The number 45 fits into 83 1 times, leaving a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 141.0
Deduct 45 from 83 and we're left with 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 45

On to step 5:
45 goes into 384 8 times with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 1418.0
Deduct 360 from 384 and we're left with 24.
Include the next digit (5) from the dividend after 24, then repeat: 245 / 45

On to step 6:
45 can be fit into 245 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 14185.0
Subtracting 225 from 245 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.

Step 7:
If we divide 200 by 45, we get 4 and a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 14185.4
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.

Advancing 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: 14185.44
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 final result is 14185.44 with a remainder of 0.02.