We're dividing 405102 by 26 
We're looking to find how many times 26 goes into 405102.

Let's proceed to step 1:
When dividing 4 by 26, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 26

On to step 2:
If we divide 40 by 26, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 26 away from 40, we end up with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 26

Going ahead to step 3:
26 can be fit into 145 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 130 away from 145, we end up with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 26

Moving on to step 4:
The number 26 fits into 151 5 times, leaving a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
If we subtract 130 from 151, we get 21.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 26

Moving on to step 5:
If we divide 210 by 26, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1558.0
If we take 208 away from 210, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 26

Moving on to step 6:
26 goes into 22 0 times with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 15580.0
If we subtract 0 from 22, we get 22.
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:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 15580.8
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.

Advancing to step 8:
26 can be fit into 120 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 15580.84
If we take 104 away from 120, we end up 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.

On to step 9:
26 can be fit into 160 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 15580.846
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.

On to step 10:
26 goes into 40 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 15580.8461
The remainder is 14 after subtracting 26 from 40.
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:
140 divided by 26 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 15580.84615
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.

Going ahead to step 12:
100 divided by 26 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 15580.846153
If we subtract 78 from 100, we get 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 13:
26 can be fit into 220 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 15580.8461538
Subtract 208 from 220 to 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.

Step 14:
26 goes into 120 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 15580.84615384
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.

The final result is 15580.84615384 with a remainder of 1.6e-08.