Let's divide 642814 by 45
Our goal is to divide 642814 by 45.

Advancing to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 45

Step 2:
64 divided by 45 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 64 leaves us with 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 45

Step 3:
45 goes into 192 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 14.0
The remainder is 12 after subtracting 180 from 192.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 45

Let's proceed to step 4:
The number 45 fits into 128 2 times, leaving a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
If we subtract 90 from 128, we get 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 45

Going ahead to step 5:
If we divide 381 by 45, we get 8 and a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 1428.0
If we subtract 360 from 381, we get 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 45

Going ahead to step 6:
214 divided by 45 is 4 with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 14284.0
The remainder is 34 after subtracting 180 from 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
340 divided by 45 is 7 with a remainder of 25.
Put 7 as the next digit of the answer. 
Result so far: 14284.7
Deduct 315 from 340 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 14284.75
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
250 divided by 45 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 14284.755
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 14284.755 with a remaining 0.0025.