We look at the division of 261976 by 63 
We want to divide 261976 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
Subtracting 0 from 2 leaves us with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 63

On to step 2:
When dividing 26 by 63, we get 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 63

Let's proceed to step 3:
63 can be fit into 261 4 times, resulting in a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 252 away from 261, we end up with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 63

Going ahead to step 4:
If we divide 99 by 63, we get 1 and a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Deduct 63 from 99 and we're left with 36.
Bring next digit (7) of the dividend behind the 36 and repeat the process: 367 / 63

Let's proceed to step 5:
If we divide 367 by 63, we get 5 and a remainder of 52.
The next digit of our result is 5. 
Result so far: 415.0
Subtract 315 from 367 to get 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 63

Let's proceed to step 6:
63 can be fit into 526 8 times, resulting in a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 4158.0
The remainder is 22 after subtracting 504 from 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
63 can be fit into 220 3 times, resulting in a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 4158.3
Subtract 189 from 220 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
The number 63 fits into 310 4 times, leaving a remainder of 58.
The next digit of our result is 4. 
Result so far: 4158.34
If we take 252 away from 310, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
63 can be fit into 580 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 4158.349
Deduct 567 from 580 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
130 divided by 63 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 4158.3492
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
When dividing 40 by 63, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 4158.3492
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
63 goes into 400 6 times with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 4158.349206
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
The number 63 fits into 220 3 times, leaving a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 4158.3492063
Deduct 189 from 220 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 14:
When dividing 310 by 63, we get 4 with a remainder of 58.
The next digit of our result is 4. 
Result so far: 4158.34920634
The remainder is 58 after subtracting 252 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

After the division, we end up with 4158.34920634 and a remainder of 5.8e-08.