261001 ÷ 63 
We want to figure out the number of times 261001 can be divided by 63.

Going ahead to step 1:
When dividing 2 by 63, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 63

On to step 2:
63 goes into 26 0 times with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 63

Advancing to step 3:
63 goes into 261 4 times with a remainder of 9.
The next digit of our result is 4. 
Result so far: 4.0
If we take 252 away from 261, we end up with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 63

Advancing to step 4:
90 divided by 63 is 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 41.0
Subtract 63 from 90 to get 27.
Take the next digit (0) from the dividend and append it to 27, then repeat: 270 / 63

On to step 5:
63 goes into 270 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 414.0
The remainder is 18 after subtracting 252 from 270.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 63

On to step 6:
If we divide 181 by 63, we get 2 and a remainder of 55.
Use 2 as the next digit of our solution. 
Result so far: 4142.0
If we subtract 126 from 181, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
When dividing 550 by 63, we get 8 with a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 4142.8
If we subtract 504 from 550, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
63 goes into 460 7 times with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 4142.87
Deduct 441 from 460 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
When dividing 190 by 63, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 4142.873
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 63 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 4142.873
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 63 is 1 with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 4142.87301
The remainder is 37 after subtracting 63 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
63 goes into 370 5 times with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 4142.873015
If we subtract 315 from 370, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 13:
When dividing 550 by 63, we get 8 with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 4142.8730158
The remainder is 46 after subtracting 504 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 14:
63 goes into 460 7 times with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 4142.87301587
Subtracting 441 from 460 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 4142.87301587 with a remainder of 1.9e-08.