We look at the division of 357642 by 26 
Let's see how many times 26 fits into 357642.

Going ahead to step 1:
The number 26 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 26

Step 2:
The number 26 fits into 35 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 26 from 35 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 26

Moving on to step 3:
The number 26 fits into 97 3 times, leaving a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtract 78 from 97 to get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 26

Step 4:
26 goes into 196 7 times with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 137.0
Deduct 182 from 196 and we're left with 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 26

Let's proceed to step 5:
When dividing 144 by 26, we get 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 1375.0
If we subtract 130 from 144, we get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 26

Going ahead to step 6:
If we divide 142 by 26, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 13755.0
Subtracting 130 from 142 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:
When dividing 120 by 26, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 13755.4
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.

Let's proceed to step 8:
If we divide 160 by 26, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 13755.46
If we take 156 away from 160, we end up 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.

Moving on to step 9:
If we divide 40 by 26, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 13755.461
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.

Advancing to step 10:
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: 13755.4615
Subtracting 130 from 140 leaves us 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:
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: 13755.46153
The remainder is 22 after subtracting 78 from 100.
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 number 8 becomes the next digit in our result. 
Result so far: 13755.461538
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.

Advancing to step 13:
The number 26 fits into 120 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 13755.4615384
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.

Step 14:
When dividing 160 by 26, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 13755.46153846
Subtract 156 from 160 to 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.

Our division results in 13755.46153846 with a remaining 4e-09.