We're dividing 419754 by 26 
We want to divide 419754 by 26.

Let's proceed to step 1:
4 divided by 26 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 26

Moving on to step 2:
41 divided by 26 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 26 from 41 and we're left with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 26

Let's proceed to step 3:
If we divide 159 by 26, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 156 from 159 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 26

Moving on to step 4:
If we divide 37 by 26, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 161.0
Deduct 26 from 37 and we're left with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 26

Step 5:
26 can be fit into 115 4 times, resulting in a remainder of 11.
The next digit of our result is 4. 
Result so far: 1614.0
If we take 104 away from 115, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 26

Step 6:
When dividing 114 by 26, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 16144.0
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.

Going ahead to step 7:
100 divided by 26 is 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 16144.3
Subtract 78 from 100 to 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 8:
26 goes into 220 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 16144.38
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.

Let's proceed to step 9:
26 goes into 120 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 16144.384
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 10:
26 can be fit into 160 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 16144.3846
Subtracting 156 from 160 leaves us with 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 11:
When dividing 40 by 26, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 16144.38461
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 12:
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: 16144.384615
The remainder is 10 after subtracting 130 from 140.
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 13:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 16144.3846153
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.

Advancing to step 14:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 16144.38461538
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.

After the division, we end up with 16144.38461538 and a remainder of 1.2e-08.