407666 ÷ 26 
Our goal is to divide 407666 by 26.

Going ahead to step 1:
The number 26 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 26

Advancing to step 2:
26 can be fit into 40 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 26 from 40 to get 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 26

Going ahead to step 3:
If we divide 147 by 26, we get 5 and a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 130 from 147 and we're left with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 26

Let's proceed to step 4:
The number 26 fits into 176 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 156.0
The remainder is 20 after subtracting 156 from 176.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 26

Going ahead to step 5:
The number 26 fits into 206 7 times, leaving a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 1567.0
If we take 182 away from 206, we end up with 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 26

Step 6:
26 goes into 246 9 times with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 15679.0
The remainder is 12 after subtracting 234 from 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 26 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 15679.4
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.

Moving on to step 8:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 15679.46
Deduct 156 from 160 and we're left 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 9:
The number 26 fits into 40 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 15679.461
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.

Step 10:
140 divided by 26 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15679.4615
If we subtract 130 from 140, 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.

Step 11:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 15679.46153
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 12:
The number 26 fits into 220 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 15679.461538
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.

Step 13:
26 goes into 120 4 times with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 15679.4615384
Subtract 104 from 120 to 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.

Advancing to step 14:
26 goes into 160 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 15679.46153846
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.

The final result is 15679.46153846 with a remainder of 4e-09.