We're dividing 361284 by 63 
We're looking to find how many times 63 goes into 361284.

Advancing to step 1:
3 divided by 63 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 63

Step 2:
If we divide 36 by 63, we get 0 and a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 63

Let's proceed to step 3:
When dividing 361 by 63, we get 5 with a remainder of 46.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 315 from 361 leaves us with 46.
Grab the next digit (2) from the dividend, add it to 46, then carry on: 462 / 63

Step 4:
If we divide 462 by 63, we get 7 and a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtract 441 from 462 to get 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 63

Moving on to step 5:
63 goes into 218 3 times with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 573.0
If we take 189 away from 218, we end up with 29.
Append the next digit (4) from the dividend to 29 and continue with: 294 / 63

Advancing to step 6:
If we divide 294 by 63, we get 4 and a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 5734.0
The remainder is 42 after subtracting 252 from 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
When dividing 420 by 63, we get 6 with a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 5734.6
Deduct 378 from 420 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
63 goes into 420 6 times with a remainder of 42.
The next digit of our result is 6. 
Result so far: 5734.66
If we take 378 away from 420, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 5734.66 and a remainder of 0.042.