188642 ÷ 26 
Our goal is to divide 188642 by 26.

On to step 1:
When dividing 1 by 26, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 26

On to step 2:
When dividing 18 by 26, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Bring next digit (8) of the dividend behind the 18 and repeat the process: 188 / 26

Step 3:
188 divided by 26 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 182 from 188, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 26

On to step 4:
When dividing 66 by 26, we get 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 72.0
If we subtract 52 from 66, we get 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 26

Step 5:
When dividing 144 by 26, we get 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 725.0
Subtract 130 from 144 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 26

Advancing to step 6:
When dividing 142 by 26, we get 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 7255.0
If we subtract 130 from 142, we 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.

On to step 7:
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: 7255.4
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:
26 goes into 160 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7255.46
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.

Going ahead to step 9:
When dividing 40 by 26, we get 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 7255.461
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:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7255.4615
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.

Advancing to step 11:
If we divide 100 by 26, we get 3 and a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 7255.46153
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.

Advancing to step 12:
26 goes into 220 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7255.461538
If we subtract 208 from 220, we 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.

Going ahead to step 13:
26 goes into 120 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 7255.4615384
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.

Moving on to step 14:
26 goes into 160 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7255.46153846
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.

The final result is 7255.46153846 with a remainder of 4e-09.