We're dividing 89446 by 26 
We're looking to find how many times 26 goes into 89446.

Step 1:
When dividing 8 by 26, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 26

Let's proceed to step 2:
89 divided by 26 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 78 from 89 to get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 26

On to step 3:
If we divide 114 by 26, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 104 from 114, we get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 26

On to step 4:
If we divide 104 by 26, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 344.0
Subtract 104 from 104 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 26

Step 5:
When dividing 6 by 26, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 3440.0
Deduct 0 from 6 and we're left 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.

On to step 6:
The number 26 fits into 60 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 3440.2
Deduct 52 from 60 and we're left 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.

Going ahead to step 7:
26 goes into 80 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3440.23
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.

Let's proceed to step 8:
20 divided by 26 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 3440.23
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.

Going ahead to step 9:
If we divide 200 by 26, we get 7 and a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 3440.2307
Deduct 182 from 200 and we're left 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.

Step 10:
180 divided by 26 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 3440.23076
Deduct 156 from 180 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.

Let's proceed to step 11:
When dividing 240 by 26, we get 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 3440.230769
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.

Let's proceed to step 12:
60 divided by 26 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 3440.2307692
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
26 goes into 80 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3440.23076923
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 3440.23076923, and the remainder is 2e-09.