We're dividing 361642 by 26 
We want to figure out the number of times 361642 can be divided by 26.

On to step 1:
The number 26 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 26

On to step 2:
26 goes into 36 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 10 after subtracting 26 from 36.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 26

Advancing to step 3:
The number 26 fits into 101 3 times, leaving a remainder of 23.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 78 from 101 to get 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 26

Going ahead to step 4:
236 divided by 26 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 139.0
If we subtract 234 from 236, we get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 26

Moving on to step 5:
The number 26 fits into 24 0 times, leaving a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 1390.0
Deduct 0 from 24 and we're left with 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 26

On to step 6:
The number 26 fits into 242 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 13909.0
The remainder is 8 after subtracting 234 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
80 divided by 26 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13909.3
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 26, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13909.3
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
26 can be fit into 200 7 times, resulting in a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 13909.307
If we take 182 away from 200, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
When dividing 180 by 26, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 13909.3076
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 13909.30769
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
If we divide 60 by 26, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 13909.307692
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
26 can be fit into 80 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 13909.3076923
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
20 divided by 26 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13909.3076923
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 13909.3076923 and a remainder of 2e-08.