We're dividing 106631 by 26 
We want to figure out the number of times 106631 can be divided by 26.

On to step 1:
If we divide 1 by 26, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 26

On to step 2:
The number 26 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 26

Moving on to step 3:
When dividing 106 by 26, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 104 from 106 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 26

Let's proceed to step 4:
If we divide 26 by 26, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 41.0
The remainder is 0 after subtracting 26 from 26.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 26

Let's proceed to step 5:
If we divide 3 by 26, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 410.0
Subtract 0 from 3 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 26

On to step 6:
When dividing 31 by 26, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 4101.0
The remainder is 5 after subtracting 26 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 26 fits into 50 1 times, leaving a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 4101.1
Deduct 26 from 50 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
240 divided by 26 is 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 4101.19
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
If we divide 60 by 26, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4101.192
If we take 52 away from 60, we end up 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.

Advancing to step 10:
The number 26 fits into 80 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 4101.1923
If we take 78 away from 80, we end up 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.

Moving on to step 11:
26 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4101.1923
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
The number 26 fits into 200 7 times, leaving a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 4101.192307
The remainder is 18 after subtracting 182 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
26 can be fit into 180 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 4101.1923076
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 4101.19230769
If we take 234 away from 240, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 4101.19230769 with a balance of 6e-09.