We're dividing 153356 by 63 
We're looking to find how many times 63 goes into 153356.

Moving on to step 1:
63 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 63

Going ahead to step 2:
When dividing 15 by 63, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 63

Moving on to step 3:
When dividing 153 by 63, we get 2 with a remainder of 27.
The next digit of our result is 2. 
Result so far: 2.0
If we take 126 away from 153, we end up with 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 63

On to step 4:
If we divide 273 by 63, we get 4 and a remainder of 21.
The next digit of our result is 4. 
Result so far: 24.0
If we take 252 away from 273, we end up with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 63

Moving on to step 5:
When dividing 215 by 63, we get 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 243.0
Subtracting 189 from 215 leaves us with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 63

Let's proceed to step 6:
The number 63 fits into 266 4 times, leaving a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 2434.0
Subtract 252 from 266 to 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.

Let's proceed to step 7:
When dividing 140 by 63, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2434.2
Subtract 126 from 140 to 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.

Going ahead to step 8:
If we divide 140 by 63, we get 2 and a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 2434.22
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 2434.22 with a remaining 0.014.