10254 ÷ 26 
We want to figure out the number of times 10254 can be divided by 26.

Let's proceed to step 1:
26 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 26

Step 2:
If we divide 10 by 26, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 26

Advancing to step 3:
The number 26 fits into 102 3 times, leaving a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 78 away from 102, we end up with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 26

Advancing to step 4:
If we divide 245 by 26, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 39.0
Deduct 234 from 245 and we're left with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 26

Moving on to step 5:
If we divide 114 by 26, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 394.0
If we subtract 104 from 114, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 6:
100 divided by 26 is 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 394.3
Deduct 78 from 100 and we're left 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.

On to step 7:
220 divided by 26 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 394.38
If we subtract 208 from 220, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 26, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 394.384
Deduct 104 from 120 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
160 divided by 26 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 394.3846
If we subtract 156 from 160, we get 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 10:
26 goes into 40 1 times with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 394.38461
If we take 26 away from 40, we end up with 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 11:
If we divide 140 by 26, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 394.384615
Deduct 130 from 140 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 12:
26 goes into 100 3 times with a remainder of 22.
The next digit of our result is 3. 
Result so far: 394.3846153
If we take 78 away from 100, we end up 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:
26 goes into 220 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 394.38461538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 394.38461538 with a balance of 1.2e-08.