We look at the division of 108146 by 26 
We're looking to find how many times 26 goes into 108146.

Let's proceed to step 1:
26 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 26

Going ahead to step 2:
When dividing 10 by 26, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 26

On to step 3:
When dividing 108 by 26, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 104 away from 108, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 26

Advancing to step 4:
If we divide 41 by 26, we get 1 and a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 41.0
If we take 26 away from 41, we end up with 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 26

On to step 5:
The number 26 fits into 154 5 times, leaving a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 415.0
The remainder is 24 after subtracting 130 from 154.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 26

On to step 6:
26 can be fit into 246 9 times, resulting in a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 4159.0
Subtracting 234 from 246 leaves us with 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 7:
26 can be fit into 120 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 4159.4
Subtracting 104 from 120 leaves us 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.

Going ahead to step 8:
26 can be fit into 160 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 4159.46
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
26 goes into 40 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 4159.461
If we subtract 26 from 40, we get 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 10:
If we divide 140 by 26, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 4159.4615
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.

On to step 11:
26 goes into 100 3 times with a remainder of 22.
The next digit of our result is 3. 
Result so far: 4159.46153
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.

On to step 12:
If we divide 220 by 26, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 4159.461538
Subtracting 208 from 220 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
26 goes into 120 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 4159.4615384
If we subtract 104 from 120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
If we divide 160 by 26, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 4159.46153846
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.

The quotient of the division is 4159.46153846, and the remainder is 4e-09.