We divide 100261 by 4
Our goal is to divide 100261 by 4.

Going ahead to step 1:
4 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
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 4

Let's proceed to step 2:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 8 from 10 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 4

Let's proceed to step 3:
If we divide 20 by 4, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Deduct 20 from 20 and we're left with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 4

Moving on to step 4:
2 divided by 4 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 250.0
Subtract 0 from 2 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 4

Step 5:
The number 4 fits into 26 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 2506.0
If we take 24 away from 26, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Going ahead to step 6:
The number 4 fits into 21 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 25065.0
If we subtract 20 from 21, we 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.

Let's proceed to step 7:
When dividing 10 by 4, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 25065.2
The remainder is 2 after subtracting 8 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
If we divide 20 by 4, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 25065.25
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 4 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25065.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25065.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 25065.25, with a leftover of 0.0.