We look at the division of 261555 by 63 
We want to divide 261555 by 63.

Advancing to step 1:
If we divide 2 by 63, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 63

Going ahead to step 2:
63 goes into 26 0 times with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 63

Step 3:
261 divided by 63 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 252 from 261 leaves us with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 63

Moving on to step 4:
If we divide 95 by 63, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 41.0
If we subtract 63 from 95, we get 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 63

Advancing to step 5:
63 can be fit into 325 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 415.0
Subtract 315 from 325 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 63

On to step 6:
63 can be fit into 105 1 times, resulting in a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 4151.0
Subtracting 63 from 105 leaves us 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.

Going ahead to step 7:
The number 63 fits into 420 6 times, leaving a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 4151.6
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.

Advancing to step 8:
The number 63 fits into 420 6 times, leaving a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 4151.66
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.

The quotient of the division is 4151.66, and the remainder is 0.042.