We're dividing 282401 by 45 
Let's see how many times 45 fits into 282401.

Step 1:
45 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 45

Step 2:
When dividing 28 by 45, we get 0 with a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 45

Moving on to step 3:
The number 45 fits into 282 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 270 from 282, we get 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 45

Advancing to step 4:
The number 45 fits into 124 2 times, leaving a remainder of 34.
The next digit of our result is 2. 
Result so far: 62.0
The remainder is 34 after subtracting 90 from 124.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 45

Going ahead to step 5:
The number 45 fits into 340 7 times, leaving a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 627.0
Deduct 315 from 340 and we're left with 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 45

Moving on to step 6:
When dividing 251 by 45, we get 5 with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 6275.0
Deduct 225 from 251 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
The number 45 fits into 260 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6275.5
Subtracting 225 from 260 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
45 goes into 350 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 6275.57
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 6275.577
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 6275.577, and the remainder is 0.0035.